* [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 (74 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (- (+ (* (* (* b 4) b) (- 1 (* a 3))) (* (+ 4 (* a 4)) (* a a))) (- 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [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 (+ (* 4 (/ 1 (sqr b))) (/ 1 (pow b 4))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (sqr b))) (/ 1 (pow b 4))) in 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]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 1) 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 (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (+ (* 4 (/ 1 (sqr b))) (/ 1 (pow b 4))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (sqr b))) (/ 1 (pow b 4))) in 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]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 1) 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 (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) * * * * [misc]progress: [ 2 / 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 (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* 1 (+ (* 3 (/ 1 a)) 1)) into (+ (* 3 (/ 1 a)) 1) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ 1 a)) 1) in a * [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 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 3 0) 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 (+ (* 3 (/ 1 a)) 1))) 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 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 (- 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 (+ (* 3 (/ 1 a)) 1)))) 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 (+ (* 3 (/ 1 a)) 1))))) 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 (+ (* 3 (/ 1 a)) 1)))))) 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: [ 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 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 (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 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 (+ (sqr a) (* b b))) (- (* (sqr a) (* a 4)) 1)) * * * * [misc]progress: [ 2 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (sqr (* a b))) (+ (- (pow a 4) 1) (sqr (* a b)))) * * * * [misc]progress: [ 3 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (sqr (* a b))) (+ (- (pow a 4) 1) (sqr (* a b)))) * * * * [misc]progress: [ 4 / 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 (176 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (491 enodes) * [exit]simplify: Simplified to (+ (* (+ (- (* (* a a) (+ a 1)) (* (* b b) (* a 3))) (* b b)) 4) (- (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1)) * * * * [misc]progress: [ 5 / 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 (176 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (491 enodes) * [exit]simplify: Simplified to (+ (* (+ (- (* (* a a) (+ a 1)) (* (* b b) (* a 3))) (* b b)) 4) (- (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1)) * * * * [misc]progress: [ 6 / 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 (176 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (491 enodes) * [exit]simplify: Simplified to (+ (* (+ (- (* (* a a) (+ a 1)) (* (* b b) (* a 3))) (* b b)) 4) (- (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1)) * * * * [misc]progress: [ 7 / 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 (62 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (- (* (+ (* b b) (* (+ a 1) (* a a))) 4) (- 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 8 / 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 (183 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (- (* 4 (- (+ (cube a) (* b b)) (* (* 3 a) (* b b)))) (- 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 9 / 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 (183 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (- (* 4 (- (+ (cube a) (* b b)) (* (* 3 a) (* b b)))) (- 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [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 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (- (+ (* (- 1 (* 3 a)) (* b (* b 4))) (* (+ 4 (* a 4)) (* a a))) 1) * * * * [misc]progress: [ 11 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (+ (+ (* (+ (* a 4) 4) (sqr a)) (* (* 4 (sqr b)) (- 1 (* 3 a)))) (+ (* (* (+ b b) b) (sqr a)) (+ (- (pow a 4) 1) (pow b 4)))) * * * * [misc]progress: [ 12 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (+ (+ (* (+ (* a 4) 4) (sqr a)) (* (* 4 (sqr b)) (- 1 (* 3 a)))) (+ (* (* (+ b b) b) (sqr a)) (+ (- (pow a 4) 1) (pow b 4)))) * * * * [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 (85 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (* (* (pow (pow (exp 4) (* b b)) (- 1 (* a 3))) (pow (exp (* a a)) (+ (* 4 a) 4))) (exp (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (pow (pow (exp 4) (* b b)) (- 1 (* a 3))) (pow (exp (* a a)) (+ (* 4 a) 4))) (exp (* (+ (* b b) (* a a)) (+ (* b b) (* a 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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (log (+ (* (* a a) (+ 4 (* a 4))) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* b (* b 4)) (- 1 (* a 3)))))) * [exit]simplify: Simplified to (log (+ (* (* a a) (+ 4 (* a 4))) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* b (* b 4)) (- 1 (* a 3)))))) * * * * [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 (87 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (exp (+ (+ (* (* (* b 4) b) (- 1 (* a 3))) (* (* a a) (+ 4 (* a 4)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (exp (+ (+ (* (* (* b 4) b) (- 1 (* a 3))) (* (* a a) (+ 4 (* a 4)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* a a) (+ 4 (* a 4))) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* b (* b 4)) (- 1 (* a 3)))))) * [exit]simplify: Simplified to (cbrt (+ (* (* a a) (+ 4 (* a 4))) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* b (* b 4)) (- 1 (* a 3)))))) * * * * [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 (83 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (cube (+ (+ (* (* a a) (+ (* a 4) 4)) (* (* (* 4 b) b) (- 1 (* a 3)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (cube (+ (+ (* (* a a) (+ (* a 4) 4)) (* (* (* 4 b) b) (- 1 (* a 3)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* a a) (+ 4 (* a 4))) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* b (* b 4)) (- 1 (* a 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* a a) (+ 4 (* a 4))) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* b (* b 4)) (- 1 (* a 3)))))) * * * * [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 (108 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (- (* a a) (- a 1))) (* (+ (sqr (cube b)) (cube (* a a))) (+ (sqr (cube b)) (cube (* a a))))) (* (* (sqr (- (* (* b b) (* b b)) (- (* (* b b) (* a a)) (sqr (* a a))))) 4) (+ (* (* (- (* a a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))) (* (+ (* a a) (* (* a a) (cube a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (- (* a a) (- a 1))) (* (+ (sqr (cube b)) (cube (* a a))) (+ (sqr (cube b)) (cube (* a a))))) (* (* (sqr (- (* (* b b) (* b b)) (- (* (* b b) (* a a)) (sqr (* a a))))) 4) (+ (* (* (- (* a a) (- a 1)) (* b b)) (- 1 (cube (* 3 a)))) (* (+ (* a a) (* (* a a) (cube a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))))) * [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 (156 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (- (* a a) a))) (sqr (- (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* b a) (* b a))))) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (- (* a a) a))) (sqr (- (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* b a) (* b a))))) * * * * [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 (105 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (cube a) (* a a)) (* a a)) (+ 1 (* a 3))) (* (- 1 (sqr (* a 3))) (* (+ (* a a) (- 1 a)) (* b b)))) (* (* (- (* (* b b) (* b b)) (- (* (* b b) (* a a)) (sqr (* a a)))) (- (* (* b b) (* b b)) (- (* (* b b) (* a a)) (sqr (* a a))))) 4)) (* (* (+ 1 (* a 3)) (+ (* a a) (- 1 a))) (* (+ (* (cube b) (cube b)) (cube (* a a))) (+ (* (cube b) (cube b)) (cube (* a a)))))) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (cube a) (* a a)) (* a a)) (+ 1 (* a 3))) (* (- 1 (sqr (* a 3))) (* (+ (* a a) (- 1 a)) (* b b)))) (* (* (- (* (* b b) (* b b)) (- (* (* b b) (* a a)) (sqr (* a a)))) (- (* (* b b) (* b b)) (- (* (* b b) (* a a)) (sqr (* a a))))) 4)) (* (* (+ 1 (* a 3)) (+ (* a a) (- 1 a))) (* (+ (* (cube b) (cube b)) (cube (* a a))) (+ (* (cube b) (cube b)) (cube (* a a)))))) * [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 (114 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (* (- (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* b a) (* b a))) (* (- (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* b a) (* b a))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (- (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* b a) (* b a))) (* (- (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* b a) (* b a))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a))))) * * * * [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 (96 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a))))) (* (* (+ (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b))) (* (* (- 1 (* a a)) (* a a)) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) 4) (sqr (- (* (* b b) (* b b)) (- (* (* b b) (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a))))) (* (* (+ (* (- 1 (cube (* 3 a))) (* (- 1 a) (* b b))) (* (* (- 1 (* a a)) (* a a)) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) 4) (sqr (- (* (* b b) (* b b)) (- (* (* b b) (* a a)) (sqr (* a a))))))) * [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 (196 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (+ (* (sqr b) (- (sqr b) (* a a))) (sqr (* a a)))) (+ (* (sqr b) (- (sqr b) (* a a))) (sqr (* a a)))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (+ (* (sqr b) (- (sqr b) (* a a))) (sqr (* a a)))) (+ (* (sqr b) (- (sqr b) (* a a))) (sqr (* a a)))) * * * * [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 (91 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a))))) (* (* (- (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* a a))) (- (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* a a)))) (+ (* (* (* a a) (- 1 (* a a))) (* 4 (+ (* a 3) 1))) (* (* (* 4 (- 1 a)) (* b b)) (- 1 (* (* a 3) (* a 3))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a))))) (* (* (- (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* a a))) (- (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* a a)))) (+ (* (* (* a a) (- 1 (* a a))) (* 4 (+ (* a 3) 1))) (* (* (* 4 (- 1 a)) (* b b)) (- 1 (* (* a 3) (* a 3))))))) * [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 (84 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (* (* (- 1 a) (+ 1 (* a 3))) (sqr (+ (- (* (sqr b) (sqr b)) (* (* b a) (* b a))) (sqr (* a a))))) * [exit]simplify: Simplified to (* (* (- 1 a) (+ 1 (* a 3))) (sqr (+ (- (* (sqr b) (sqr b)) (* (* b a) (* b a))) (sqr (* a 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 (90 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (+ (* (sqr (- (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* a a)))) (+ (* (* 4 (sqr (cube b))) (cube (- 1 (* a 3)))) (* (* 4 (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (* b b) (- 1 (* a 3))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* a 3))))) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube a)))))) * [exit]simplify: Simplified to (+ (* (sqr (- (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* a a)))) (+ (* (* 4 (sqr (cube b))) (cube (- 1 (* a 3)))) (* (* 4 (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (* b b) (- 1 (* a 3))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* a 3))))) (* (+ (sqr (cube b)) (sqr (cube a))) (+ (sqr (cube b)) (sqr (cube 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 (309 enodes) * [exit]simplify: Simplified to (* (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (sqr (+ (- (* (sqr b) (sqr b)) (* (* a a) (sqr b))) (sqr (* a a))))) * [exit]simplify: Simplified to (* (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (sqr (+ (- (* (sqr b) (sqr b)) (* (* a a) (sqr b))) (sqr (* a a))))) * * * * [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 (68 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (- (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ (* (cube b) (cube b)) (cube (* a a))) (+ (* (cube b) (cube b)) (cube (* a a)))) (* (sqr (- (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* a a)))) (* 4 (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (- (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ (* (cube b) (cube b)) (cube (* a a))) (+ (* (cube b) (cube b)) (cube (* a a)))) (* (sqr (- (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* a a)))) (* 4 (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))))) * [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 (152 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (- (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* a a) (sqr b)))) (- (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* a a) (sqr b)))) * [exit]simplify: Simplified to (* (* (- (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (- (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* a a) (sqr b)))) (- (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* a a) (sqr 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 (102 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (* (- 1 (cube (* 3 a))) (* (sqr b) (+ (* a a) (- 1 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (+ (* 3 a) 1) (sqr (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (* (- 1 (cube (* 3 a))) (* (sqr b) (+ (* a a) (- 1 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (+ (* 3 a) 1) (sqr (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (* a a) (- 1 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 (150 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (* (+ (- (* a a) a) 1) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) * [exit]simplify: Simplified to (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (* (+ (- (* a a) a) 1) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) * * * * [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 (99 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr b) (+ (* a a) (- 1 a))) (- 1 (sqr (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* 3 a) 1))) (* (sqr (- (* a a) (sqr b))) 4)) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr b) (+ (* a a) (- 1 a))) (- 1 (sqr (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* 3 a) 1))) (* (sqr (- (* a a) (sqr b))) 4)) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) * [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 (86 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (+ 1 (* a 3)) (+ (- 1 a) (* a a)))) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (+ 1 (* a 3)) (+ (- 1 a) (* a a)))) * * * * [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 (250 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (* (* (- 1 (* a a)) (* a a)) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (sqr b))))) (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (- 1 a)) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (* (* (- 1 (* a a)) (* a a)) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (sqr b))))) (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (- 1 a)) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * [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 (151 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- 1 a))) * [exit]simplify: Simplified to (* (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- 1 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 (179 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (* (* (+ (* a 3) 1) (* a a)) (- 1 (* a a))) (* (* (sqr b) (- 1 a)) (- 1 (* (* a 3) (* a 3)))))) (* (* (- 1 a) (+ (* a 3) 1)) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (* (* (+ (* a 3) 1) (* a a)) (- 1 (* a a))) (* (* (sqr b) (- 1 a)) (- 1 (* (* a 3) (* a 3)))))) (* (* (- 1 a) (+ (* a 3) 1)) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * [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 (157 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * [exit]simplify: Simplified to (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * * * * [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 (84 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr 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 (150 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (* (- (* a a) (* b b)) (- (* a a) (* b 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 (202 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (+ a 1) (* a a)) (* (sqr b) (- 1 (* a 3))))) (* (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (* a a))) (- (* (+ a 1) (* a a)) (* (sqr b) (- 1 (* a 3))))) (* (* 4 (- (* a a) (sqr b))) (- (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (+ a 1) (* a a)) (* (sqr b) (- 1 (* a 3))))) (* (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (* a a))) (- (* (+ a 1) (* a a)) (* (sqr b) (- 1 (* a 3))))) (* (* 4 (- (* a a) (sqr b))) (- (* a a) (sqr b))))) * [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 (162 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (* (- (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * [exit]simplify: Simplified to (* (- (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * * * * [misc]progress: [ 32 / 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 (46 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (+ (* (cube (+ (* b b) (* a a))) (cube (+ (* b b) (* a a)))) (cube (+ (* (+ 4 (* a 4)) (* a a)) (* (- 1 (* a 3)) (* 4 (* b b)))))) * [exit]simplify: Simplified to (+ (* (cube (+ (* b b) (* a a))) (cube (+ (* b b) (* a a)))) (cube (+ (* (+ 4 (* a 4)) (* a a)) (* (- 1 (* a 3)) (* 4 (* b b)))))) * [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 (108 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 4 (* 4 a)) (* a a)) (* (* (* 4 b) b) (- 1 (* a 3)))) (- (+ (* (+ 4 (* 4 a)) (* a a)) (* (* (* 4 b) b) (- 1 (* a 3)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (+ (* (+ (* (+ 4 (* 4 a)) (* a a)) (* (* (* 4 b) b) (- 1 (* a 3)))) (- (+ (* (+ 4 (* 4 a)) (* a a)) (* (* (* 4 b) b) (- 1 (* a 3)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 33 / 89 ] simplifiying candidate # * * * * [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 (91 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (* b b) 4) (- 1 (* a 3))) (* (* a a) (+ (* 4 a) 4)))) (- (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (* b b) 4) (- 1 (* a 3))) (* (* a a) (+ (* 4 a) 4))))) * [exit]simplify: Simplified to (* (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (* b b) 4) (- 1 (* a 3))) (* (* a a) (+ (* 4 a) 4)))) (- (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (* b b) 4) (- 1 (* a 3))) (* (* a a) (+ (* 4 a) 4))))) * [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 (69 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (- (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b (* b 4)) (- 1 (* a 3))) (* (+ (* a a) a) (* a 4)))) * [exit]simplify: Simplified to (- (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b (* b 4)) (- 1 (* a 3))) (* (+ (* a a) a) (* a 4)))) * * * * [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 (100 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (+ 4 (* a 4)) (* a a))) * [exit]simplify: Simplified to (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (+ 4 (* a 4)) (* a 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 (96 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* a a) (+ (* 4 a) 4))) * [exit]simplify: Simplified to (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* a a) (+ (* 4 a) 4))) * * * * [misc]progress: [ 37 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 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 (* 3 a)) (* b b)) * [exit]simplify: Simplified to (* (- 1 (* 3 a)) (* b b)) * * * * [misc]progress: [ 39 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 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 (21 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (+ (log (- 1 (* a 3))) (+ (log b) (log b))) * [exit]simplify: Simplified to (+ (log (- 1 (* a 3))) (+ (log b) (log b))) * * * * [misc]progress: [ 41 / 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 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (log (* (- 1 (* 3 a)) (* b b))) * [exit]simplify: Simplified to (log (* (- 1 (* 3 a)) (* b b))) * * * * [misc]progress: [ 42 / 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 (* b b)) (- 1 (* 3 a))) * [exit]simplify: Simplified to (pow (exp (* b b)) (- 1 (* 3 a))) * * * * [misc]progress: [ 43 / 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 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (cube (- 1 (* a 3))) (cube (* b b))) * [exit]simplify: Simplified to (* (cube (- 1 (* a 3))) (cube (* b b))) * * * * [misc]progress: [ 44 / 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 (* 3 a)) (* b b))) * [exit]simplify: Simplified to (cbrt (* (- 1 (* 3 a)) (* b b))) * * * * [misc]progress: [ 45 / 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 (62 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (cube (* (- 1 (* 3 a)) (* b b))) * [exit]simplify: Simplified to (cube (* (- 1 (* 3 a)) (* b b))) * * * * [misc]progress: [ 46 / 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 (* a 3))) (cbrt (* b b))) * [exit]simplify: Simplified to (* (cbrt (- 1 (* a 3))) (cbrt (* b b))) * * * * [misc]progress: [ 47 / 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 (* 3 a)) (* b b))) * [exit]simplify: Simplified to (sqrt (* (- 1 (* 3 a)) (* b b))) * * * * [misc]progress: [ 48 / 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: [ 49 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 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 (* b b) * [exit]simplify: Simplified to (* b 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 (90 enodes) * [exit]simplify: Simplified to (* a (* (- b) (* b 3))) * [exit]simplify: Simplified to (* a (* (- b) (* b 3))) * * * * [misc]progress: [ 51 / 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 (34 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (- (* a 3)) (* b b)) * [exit]simplify: Simplified to (* (- (* a 3)) (* b b)) * * * * [misc]progress: [ 52 / 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 (* b b) * [exit]simplify: Simplified to (* b b) * * * * [misc]progress: [ 53 / 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 (* (- 1 (* 3 a)) b) * [exit]simplify: Simplified to (* (- 1 (* 3 a)) b) * * * * [misc]progress: [ 54 / 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 (* 3 a)) (* b b)) * [exit]simplify: Simplified to (* (- 1 (* 3 a)) (* b b)) * * * * [misc]progress: [ 55 / 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 (74 enodes) * [exit]simplify: Simplified to (* (* b b) (- 1 (cube (* 3 a)))) * [exit]simplify: Simplified to (* (* b b) (- 1 (cube (* 3 a)))) * * * * [misc]progress: [ 56 / 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 (172 enodes) * [exit]simplify: Simplified to (* (* b b) (- 1 (* (* a 3) (* a 3)))) * [exit]simplify: Simplified to (* (* b b) (- 1 (* (* a 3) (* a 3)))) * * * * [misc]progress: [ 57 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 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 (94 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (exp (* (+ a 1) (* a a))) (pow (exp (* b b)) (- 1 (* a 3)))) * [exit]simplify: Simplified to (* (exp (* (+ a 1) (* a a))) (pow (exp (* b b)) (- 1 (* a 3)))) * * * * [misc]progress: [ 59 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 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 (88 enodes) * [exit]simplify: Simplified to (log (+ (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (log (+ (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 61 / 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 (124 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (exp (* (+ a 1) (* a a))) (pow (exp (* b b)) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (* (exp (* (+ a 1) (* a a))) (pow (exp (* b b)) (- 1 (* 3 a)))) * * * * [misc]progress: [ 62 / 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 (88 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (cbrt (+ (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 63 / 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 (117 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * [exit]simplify: Simplified to (cube (+ (* (* a a) (+ a 1)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (cube (+ (* (* a a) (+ a 1)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 64 / 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 (88 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 65 / 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 (62 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (- a 1)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (- a 1)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (* 3 a) (* 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 (161 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) * [exit]simplify: Simplified to (* (+ (* a a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) * * * * [misc]progress: [ 66 / 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 (59 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (* (cube a) (* a a))))) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (* (cube a) (* a 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 (56 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (+ (* 3 a) 1) (- (* a a) (- a 1))) * [exit]simplify: Simplified to (* (+ (* 3 a) 1) (- (* a a) (- a 1))) * * * * [misc]progress: [ 67 / 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 (120 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (+ (* (* (* a a) (- 1 (* a a))) (+ (sqr (* a 3)) (+ 1 (* a 3)))) (* (* (sqr b) (- 1 a)) (- 1 (cube (* a 3))))) * [exit]simplify: Simplified to (+ (* (* (* a a) (- 1 (* a a))) (+ (sqr (* a 3)) (+ 1 (* a 3)))) (* (* (sqr b) (- 1 a)) (- 1 (cube (* a 3))))) * [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 (94 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (168 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: [ 68 / 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 (189 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * * [misc]simplify: iters left: 1 (460 enodes) * [exit]simplify: Simplified to (* (+ (* a 3) 1) (+ (* (* a a) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (- 1 (* a 3))))) * [exit]simplify: Simplified to (* (+ (* a 3) 1) (+ (* (* a a) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (- 1 (* a 3))))) * [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 (64 enodes) * [exit]simplify: Simplified to (+ (* (* 3 a) (- 1 a)) (- 1 a)) * [exit]simplify: Simplified to (+ (* (* 3 a) (- 1 a)) (- 1 a)) * * * * [misc]progress: [ 69 / 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 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) * [exit]simplify: Simplified to (+ (cube (* (+ a 1) (* a 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)))))) * * [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 (112 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (+ (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ a 1) (* a a))))) * [exit]simplify: Simplified to (+ (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ a 1) (* a a))))) * * * * [misc]progress: [ 70 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 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 (106 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b))) (- (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b)))) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b))) (- (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b)))) * [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) (* a a)) (* (* b b) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (- (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) * * * * [misc]progress: [ 72 / 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 (48 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (+ (* (+ a 1) (* a a)) (* b b)) * [exit]simplify: Simplified to (+ (* (+ a 1) (* a a)) (* b b)) * * * * [misc]progress: [ 73 / 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 (48 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (+ (* (+ a 1) (* a a)) (* b b)) * [exit]simplify: Simplified to (+ (* (+ a 1) (* a a)) (* b b)) * * * * [misc]progress: [ 74 / 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 (+ (cube a) (* (- 1 (* a 3)) (sqr b))) * [exit]simplify: Simplified to (+ (cube a) (* (- 1 (* a 3)) (sqr b))) * * * * [misc]progress: [ 75 / 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 (+ (cube a) (* (- 1 (* a 3)) (sqr b))) * [exit]simplify: Simplified to (+ (cube a) (* (- 1 (* a 3)) (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 (43 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (log (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (log (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * * * * [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 (119 enodes) * [exit]simplify: Simplified to (exp (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (exp (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * * * * [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 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (cbrt (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * * * * [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 (27 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (sqr (cube (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (sqr (cube (+ (* b b) (* a a)))) * * * * [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 (+ (* b b) (* a a))) * [exit]simplify: Simplified to (fabs (+ (* b b) (* a a))) * * * * [misc]progress: [ 84 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 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 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) * [exit]simplify: Simplified to (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) * * * * [misc]progress: [ 85 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 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 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) * [exit]simplify: Simplified to (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) * * * * [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 (15 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) * [exit]simplify: Simplified to (* (+ (* (cube b) (cube b)) (* (cube a) (cube a))) (+ (* (cube b) (cube b)) (* (cube a) (cube a)))) * [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 (141 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (sqr (- (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* b a) (* b a)))) * [exit]simplify: Simplified to (sqr (- (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* b a) (* 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 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) * [exit]simplify: Simplified to (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr 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 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 (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (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 (* 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 (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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) (pow b 4)) in b * [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 (pow b 4) in b * [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 (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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) (pow b 4)) in b * [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 (pow b 4) in b * [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 (+ (pow a 4) 0) 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 (* (+ 1 a) (sqr 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 (+ (* (+ 1 a) (sqr 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 (pow a 3)) (+ (pow a 4) (* 4 (sqr a)))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow a 3)) (+ (pow a 4) (* 4 (sqr a)))) 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) (* 4 (sqr a))) in a * [misc]taylor: Taking taylor expansion of (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]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 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (sqr a)) 0) 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 (+ 0 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) 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 a)) (* 4 (sqr b))) (* 12 (* (sqr b) a))) * [misc]approximate: Taking taylor expansion of (+ (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 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 (+ (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4))) (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 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) (pow (/ 1 b) 4)) in a * [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 (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 (* 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 (+ (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4))) (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 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) (pow (/ 1 b) 4)) in b * [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 (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 (* 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 (+ (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4))) (* 4 (+ (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr (/ 1 b)) (sqr (/ 1 a)))) (+ (pow (/ 1 a) 4) (pow (/ 1 b) 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) (pow (/ 1 b) 4)) in b * [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 (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 (* 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 (* 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 (- (+ (* (/ 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 (+ (pow (/ 1 a) 4) (pow b -4)) into (+ (/ 1 (pow a 4)) (pow b -4)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 (pow a 4)) (pow b -4))) into (+ (/ 1 (pow a 4)) (pow b -4)) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 a)) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (* (/ 1 (sqr a)) (+ (/ 1 a) 1)) into (/ (+ (/ 1 a) 1) (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 a) 1) (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 (+ (+ (/ 1 (pow a 4)) (pow b -4)) (+ (* 4 (/ 1 (sqr a))) (* 4 (/ 1 (pow a 3))))) into (+ (* 4 (/ 1 (pow a 3))) (+ (* 4 (/ 1 (sqr a))) (+ (/ 1 (pow a 4)) (pow b -4)))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 3))) (+ (* 4 (/ 1 (sqr a))) (+ (/ 1 (pow a 4)) (pow b -4)))) 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 (+ (* 4 (/ 1 (sqr a))) (+ (/ 1 (pow a 4)) (pow b -4))) in a * [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 (+ (/ 1 (pow a 4)) (pow b -4)) 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 (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]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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) 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 (- (+ (* 2 (* (sqr b) (sqr a))) (* 4 (pow a 3))) (* 12 (* (sqr b) a))) * [misc]approximate: Taking taylor expansion of (+ (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 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 (+ (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4))) (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 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) (pow (/ 1 (- b)) 4)) in a * [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 (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 (* 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 (+ (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4))) (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 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) (pow (/ 1 (- b)) 4)) in b * [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 (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 (* 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 (+ (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4))) (* 4 (+ (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 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) (pow (/ 1 (- b)) 4)) in b * [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 (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 (* 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 (* -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 (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* 1 (+ (* 3 (/ 1 a)) 1)) into (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (+ 0 (+ (* 3 (/ 1 a)) 1)) into (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* 4 (+ (* 3 (/ 1 a)) 1)) into (* 4 (+ (* 3 (/ 1 a)) 1)) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (sqr a))) (* 4 (+ (* 3 (/ 1 a)) 1))) into (+ (* 12 (/ 1 a)) (+ 4 (* 2 (/ 1 (sqr a))))) * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ 1 a)) (+ 4 (* 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 (+ 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]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) 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 (+ (* 3 (/ 1 a)) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (+ (* 3 (/ 1 a)) 1))) 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 (+ (pow (/ -1 a) 4) (exp (* 4 (- (log -1) (log b))))) into (+ (exp (* 4 (- (log -1) (log b)))) (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ 0 (+ (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 (+ (* 3 (/ 1 a)) 1)))) 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 (+ (* 3 (/ 1 a)) 1)))) 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)))) (+ (* 4 (/ 1 (sqr a))) (/ 1 (pow a 4)))) (* 4 (/ 1 (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (+ (exp (* 4 (- (log -1) (log b)))) (+ (* 4 (/ 1 (sqr a))) (/ 1 (pow a 4)))) (* 4 (/ 1 (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (+ (exp (* 4 (- (log -1) (log b)))) (+ (* 4 (/ 1 (sqr a))) (/ 1 (pow a 4)))) 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 (+ (* 4 (/ 1 (sqr a))) (/ 1 (pow a 4))) in a * [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 (/ 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 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 12 0) 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 (- (+ (* 2 (* (sqr b) (sqr a))) (* 4 (pow a 3))) (* 12 (* (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 (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* 1 (+ (* 3 (/ 1 a)) 1)) into (+ (* 3 (/ 1 a)) 1) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ 1 a)) 1) in a * [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 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 3 0) 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 (+ (* 3 (/ 1 a)) 1))) 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 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 (- 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 (+ (* 3 (/ 1 a)) 1)))) 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 (+ (* 3 (/ 1 a)) 1))))) 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 (+ (* 3 (/ 1 a)) 1)))))) 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 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: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (* 2 0) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (- (+ (* (sqr a) (+ (* a 4) 4)) (* (- 1 (* 3 a)) (* (* b b) 4))) (- (- 1 (pow b 4)) (pow a 4))) * * * * [misc]progress: [ 2 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (+ (+ (* (+ (* a 4) 4) (sqr a)) (* (* 4 (sqr b)) (- 1 (* 3 a)))) (+ (* (* (+ b b) b) (sqr a)) (+ (- (pow a 4) 1) (pow b 4)))) * * * * [misc]progress: [ 3 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (+ (+ (* (+ (* a 4) 4) (sqr a)) (* (* 4 (sqr b)) (- 1 (* 3 a)))) (+ (* (* (+ b b) b) (sqr a)) (+ (- (pow a 4) 1) (pow b 4)))) * * * * [misc]progress: [ 4 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (sqr a)) (* 4 (sqr b))) (* 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 (79 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (- (- (* (* a 4) a) 1) (* (* b b) (- (* a 12) 4))) * * * * [misc]progress: [ 5 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 2 (* (sqr b) (sqr a))) (* 4 (pow a 3))) (* 12 (* (sqr b) a))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (+ (* (sqr a) (+ (sqr b) (* a 4))) (- (* a (* (sqr b) (- a 12))) 1)) * * * * [misc]progress: [ 6 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 2 (* (sqr b) (sqr a))) (* 4 (pow a 3))) (* 12 (* (sqr b) a))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (+ (* (sqr a) (+ (sqr b) (* a 4))) (- (* a (* (sqr b) (- a 12))) 1)) * * * * [misc]progress: [ 7 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (58 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* (sqr b) (sqr a)) (* (sqr b) (sqr a))) (+ (pow b 4) (- (pow a 4) 1))) (* 4 (- (+ (* (sqr a) (+ 1 a)) (sqr b)) (* (* 3 a) (sqr b))))) * * * * [misc]progress: [ 8 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (58 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* (sqr b) (sqr a)) (* (sqr b) (sqr a))) (+ (pow b 4) (- (pow a 4) 1))) (* 4 (- (+ (* (sqr a) (+ 1 a)) (sqr b)) (* (* 3 a) (sqr b))))) * * * * [misc]progress: [ 9 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (58 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* (sqr b) (sqr a)) (* (sqr b) (sqr a))) (+ (pow b 4) (- (pow a 4) 1))) (* 4 (- (+ (* (sqr a) (+ 1 a)) (sqr b)) (* (* 3 a) (sqr b))))) * * * * [misc]progress: [ 10 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (pow a 3) (+ (sqr b) (sqr a))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (+ (* 4 (+ (* (+ 1 a) (sqr a)) (sqr b))) (+ (+ (pow a 4) (- (pow b 4) 1)) (+ (sqr (* a b)) (sqr (* a b))))) * * * * [misc]progress: [ 11 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (- (+ (pow a 3) (sqr b)) (* 3 (* (sqr b) a))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (+ (* (- (+ (sqr b) (cube a)) (* (sqr b) (* 3 a))) 4) (+ (+ (* (* a b) (* a b)) (pow b 4)) (+ (* (* a b) (* a b)) (- (pow a 4) 1)))) * * * * [misc]progress: [ 12 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (- (+ (pow a 3) (sqr b)) (* 3 (* (sqr b) a))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (+ (* (- (+ (sqr b) (cube a)) (* (sqr b) (* 3 a))) 4) (+ (+ (* (* a b) (* a b)) (pow b 4)) (+ (* (* a b) (* a b)) (- (pow a 4) 1)))) * * * * [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) (* b b)) * [exit]simplify: Simplified to (* (* a a) (* b 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 (21 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * * * * [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 (40 enodes) * [exit]simplify: Simplified to (log (* (* a a) (* b b))) * [exit]simplify: Simplified to (log (* (* a a) (* b 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 (* (* b a) (* b a))) * [exit]simplify: Simplified to (exp (* (* b a) (* b a))) * * * * [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 (26 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (cube (* b b)) (sqr (cube a))) * [exit]simplify: Simplified to (* (cube (* b b)) (sqr (cube a))) * * * * [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 (* (* b a) (* b a))) * [exit]simplify: Simplified to (cbrt (* (* b a) (* b a))) * * * * [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 (28 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (cube (* (* b a) (* b a))) * [exit]simplify: Simplified to (cube (* (* b a) (* b a))) * * * * [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 (* b b)) (cbrt (sqr a))) * [exit]simplify: Simplified to (* (cbrt (* b b)) (cbrt (sqr a))) * * * * [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 (* (* b a) (* b a))) * [exit]simplify: Simplified to (sqrt (* (* b a) (* b a))) * * * * [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 (* b a)) * [exit]simplify: Simplified to (* b (* b a)) * * * * [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 (* b b) * [exit]simplify: Simplified to (* b 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 (* b (sqr a)) * [exit]simplify: Simplified to (* b (sqr a)) * * * * [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) (* b b)) * [exit]simplify: Simplified to (* (* a a) (* b b)) * * * * [misc]progress: [ 30 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (* 2 (* (sqr b) (sqr a)))) (* (exp (pow a 4)) (exp (pow b 4)))) (exp (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (exp (+ (+ (* (sqr a) (+ (* 4 a) 4)) (* (- 1 (* a 3)) (* 4 (sqr b)))) (+ (+ (pow a 4) (* (sqr b) (sqr a))) (+ (pow b 4) (* (sqr b) (sqr a)))))) * [exit]simplify: Simplified to (exp (+ (+ (* (sqr a) (+ (* 4 a) 4)) (* (- 1 (* a 3)) (* 4 (sqr b)))) (+ (+ (pow a 4) (* (sqr b) (sqr a))) (+ (pow b 4) (* (sqr b) (sqr a)))))) * * * * [misc]progress: [ 32 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (* 2 (* (sqr b) (sqr a)))) (exp (+ (pow a 4) (pow b 4)))) (exp (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (exp (+ (+ (* (sqr b) (sqr a)) (+ (+ (pow a 4) (pow b 4)) (* (sqr b) (sqr a)))) (+ (* (* b (* b 4)) (- 1 (* a 3))) (* (sqr a) (+ 4 (* 4 a)))))) * [exit]simplify: Simplified to (exp (+ (+ (* (sqr b) (sqr a)) (+ (+ (pow a 4) (pow b 4)) (* (sqr b) (sqr a)))) (+ (* (* b (* b 4)) (- 1 (* a 3))) (* (sqr a) (+ 4 (* 4 a)))))) * * * * [misc]progress: [ 33 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4)))) (exp (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (exp (+ (+ (+ (* (sqr b) (sqr a)) (pow a 4)) (+ (pow b 4) (* (sqr b) (sqr a)))) (+ (* (* (* 4 b) b) (- 1 (* a 3))) (* (+ (* a 4) 4) (sqr a))))) * [exit]simplify: Simplified to (exp (+ (+ (+ (* (sqr b) (sqr a)) (pow a 4)) (+ (pow b 4) (* (sqr b) (sqr a)))) (+ (* (* (* 4 b) b) (- 1 (* a 3))) (* (+ (* a 4) 4) (sqr a))))) * * * * [misc]progress: [ 34 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (log (+ (+ (* (* b (+ b b)) (sqr a)) (+ (pow b 4) (pow a 4))) (+ (* (+ (* a 4) 4) (sqr a)) (* (* b (* 4 b)) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (log (+ (+ (* (* b (+ b b)) (sqr a)) (+ (pow b 4) (pow a 4))) (+ (* (+ (* a 4) 4) (sqr a)) (* (* b (* 4 b)) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 36 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * [exit]simplify: Simplified to (exp (+ (+ (+ (pow b 4) (* (sqr b) (sqr a))) (+ (* (sqr b) (sqr a)) (pow a 4))) (+ (* (- 1 (* 3 a)) (* b (* 4 b))) (* (sqr a) (+ 4 (* a 4)))))) * [exit]simplify: Simplified to (exp (+ (+ (+ (pow b 4) (* (sqr b) (sqr a))) (+ (* (sqr b) (sqr a)) (pow a 4))) (+ (* (- 1 (* 3 a)) (* b (* 4 b))) (* (sqr a) (+ 4 (* a 4)))))) * * * * [misc]progress: [ 37 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (cbrt (+ (+ (* (* b (+ b b)) (sqr a)) (+ (pow b 4) (pow a 4))) (+ (* (+ (* a 4) 4) (sqr a)) (* (* b (* 4 b)) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (cbrt (+ (+ (* (* b (+ b b)) (sqr a)) (+ (pow b 4) (pow a 4))) (+ (* (+ (* a 4) 4) (sqr a)) (* (* b (* 4 b)) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 38 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (99 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (cube (+ (+ (* (sqr b) (* a (+ a a))) (+ (pow b 4) (pow a 4))) (+ (* (+ 4 (* a 4)) (sqr a)) (* (* 4 (sqr b)) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (cube (+ (+ (* (sqr b) (* a (+ a a))) (+ (pow b 4) (pow a 4))) (+ (* (+ 4 (* a 4)) (sqr a)) (* (* 4 (sqr b)) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 39 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* (* b (+ b b)) (sqr a)) (+ (pow b 4) (pow a 4))) (+ (* (+ (* a 4) 4) (sqr a)) (* (* b (* 4 b)) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (sqrt (+ (+ (* (* b (+ b b)) (sqr a)) (+ (pow b 4) (pow a 4))) (+ (* (+ (* a 4) 4) (sqr a)) (* (* b (* 4 b)) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 40 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (* 2 (* (sqr b) (sqr a))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (+ (sqr (* 2 (* (sqr b) (sqr a)))) (- (sqr (+ (pow a 4) (pow b 4))) (* (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (124 enodes) * * [misc]simplify: iters left: 4 (390 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (* (- 1 (cube (* 3 a))) (* (sqr b) (- (* a a) (- a 1)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) (+ (* (* (+ (sqr b) (sqr b)) (* a a)) (* (+ (sqr b) (sqr b)) (* a a))) (* (- (+ (pow b 4) (pow a 4)) (* (+ (sqr b) (sqr b)) (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (- (* a a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (cube (+ (pow b 4) (pow a 4))) (cube (* (+ (sqr b) (sqr b)) (* a a)))))) * [exit]simplify: Simplified to (+ (* (* 4 (+ (* (- 1 (cube (* 3 a))) (* (sqr b) (- (* a a) (- a 1)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) (+ (* (* (+ (sqr b) (sqr b)) (* a a)) (* (+ (sqr b) (sqr b)) (* a a))) (* (- (+ (pow b 4) (pow a 4)) (* (+ (sqr b) (sqr b)) (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (- (* a a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (cube (+ (pow b 4) (pow a 4))) (cube (* (+ (sqr b) (sqr b)) (* a a)))))) * [enter]simplify: Simplifying (* (+ (sqr (* 2 (* (sqr b) (sqr a)))) (- (sqr (+ (pow a 4) (pow b 4))) (* (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (72 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* a b) (* a b)) (* (* a b) (* a b))) (+ (* (* a b) (* a b)) (* (* a b) (* a b)))) (* (- (+ (pow a 4) (pow b 4)) (+ (* (* a b) (* a b)) (* (* a b) (* a b)))) (+ (pow a 4) (pow b 4)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ 1 (- (sqr a) a)))) * [exit]simplify: Simplified to (* (+ (* (+ (* (* a b) (* a b)) (* (* a b) (* a b))) (+ (* (* a b) (* a b)) (* (* a b) (* a b)))) (* (- (+ (pow a 4) (pow b 4)) (+ (* (* a b) (* a b)) (* (* a b) (* a b)))) (+ (pow a 4) (pow b 4)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ 1 (- (sqr a) a)))) * * * * [misc]progress: [ 41 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (* 2 (* (sqr b) (sqr a))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (+ (sqr (* 2 (* (sqr b) (sqr a)))) (- (sqr (+ (pow a 4) (pow b 4))) (* (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (121 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (+ (pow b 4) (pow a 4))) (cube (+ (* (sqr b) (sqr a)) (* (sqr b) (sqr a))))) (* (- (sqr a) (- a 1)) (+ (* a 3) 1))) (* (+ (* (- (- (+ (pow b 4) (pow a 4)) (* (sqr b) (sqr a))) (* (sqr b) (sqr a))) (+ (pow b 4) (pow a 4))) (* (+ (* (sqr b) (sqr a)) (* (sqr b) (sqr a))) (+ (* (sqr b) (sqr a)) (* (sqr b) (sqr a))))) (* 4 (+ (* (* (sqr a) (+ 1 (cube a))) (+ (* a 3) 1)) (* (* (sqr b) (- (sqr a) (- a 1))) (- 1 (* (* a 3) (* a 3)))))))) * [exit]simplify: Simplified to (+ (* (+ (cube (+ (pow b 4) (pow a 4))) (cube (+ (* (sqr b) (sqr a)) (* (sqr b) (sqr a))))) (* (- (sqr a) (- a 1)) (+ (* a 3) 1))) (* (+ (* (- (- (+ (pow b 4) (pow a 4)) (* (sqr b) (sqr a))) (* (sqr b) (sqr a))) (+ (pow b 4) (pow a 4))) (* (+ (* (sqr b) (sqr a)) (* (sqr b) (sqr a))) (+ (* (sqr b) (sqr a)) (* (sqr b) (sqr a))))) (* 4 (+ (* (* (sqr a) (+ 1 (cube a))) (+ (* a 3) 1)) (* (* (sqr b) (- (sqr a) (- a 1))) (- 1 (* (* a 3) (* a 3)))))))) * [enter]simplify: Simplifying (* (+ (sqr (* 2 (* (sqr b) (sqr a)))) (- (sqr (+ (pow a 4) (pow b 4))) (* (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr a) (- a 1)) (+ 1 (* a 3))) (* (+ (* (* a b) (* a b)) (* (* a b) (* a b))) (+ (* (* a b) (* a b)) (* (* a b) (* a b))))) (* (* (* (- (sqr a) (- a 1)) (+ 1 (* a 3))) (+ (pow a 4) (pow b 4))) (- (+ (pow a 4) (pow b 4)) (+ (* (* a b) (* a b)) (* (* a b) (* a b)))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr a) (- a 1)) (+ 1 (* a 3))) (* (+ (* (* a b) (* a b)) (* (* a b) (* a b))) (+ (* (* a b) (* a b)) (* (* a b) (* a b))))) (* (* (* (- (sqr a) (- a 1)) (+ 1 (* a 3))) (+ (pow a 4) (pow b 4))) (- (+ (pow a 4) (pow b 4)) (+ (* (* a b) (* a b)) (* (* a b) (* a b)))))) * * * * [misc]progress: [ 42 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (* 2 (* (sqr b) (sqr a))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (+ (sqr (* 2 (* (sqr b) (sqr a)))) (- (sqr (+ (pow a 4) (pow b 4))) (* (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (112 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (+ (pow b 4) (pow a 4))) (cube (* (sqr a) (* b (+ b b))))) (* (- 1 a) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (+ (* (- (- (+ (pow b 4) (pow a 4)) (* (sqr b) (sqr a))) (* (sqr b) (sqr a))) (+ (pow b 4) (pow a 4))) (* (* (sqr a) (* b (+ b b))) (* (sqr a) (* b (+ b b))))) (* 4 (+ (* (* (- 1 (sqr a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (+ (cube (+ (pow b 4) (pow a 4))) (cube (* (sqr a) (* b (+ b b))))) (* (- 1 a) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (+ (* (- (- (+ (pow b 4) (pow a 4)) (* (sqr b) (sqr a))) (* (sqr b) (sqr a))) (+ (pow b 4) (pow a 4))) (* (* (sqr a) (* b (+ b b))) (* (sqr a) (* b (+ b b))))) (* 4 (+ (* (* (- 1 (sqr a)) (sqr a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (- 1 a) (sqr b))))))) * [enter]simplify: Simplifying (* (+ (sqr (* 2 (* (sqr b) (sqr a)))) (- (sqr (+ (pow a 4) (pow b 4))) (* (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (* (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a)))) (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (+ (pow a 4) (pow b 4)) (+ (* (* a b) (* a b)) (* (* a b) (* a b)))) (+ (* (* a b) (* a b)) (* (* a b) (* a b)))))) * [exit]simplify: Simplified to (* (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a)))) (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (- (+ (pow a 4) (pow b 4)) (+ (* (* a b) (* a b)) (* (* a b) (* a b)))) (+ (* (* a b) (* a b)) (* (* a b) (* a b)))))) * * * * [misc]progress: [ 43 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (* 2 (* (sqr b) (sqr a))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (* (- 1 a) (+ 1 (* 3 a)))) (* (+ (sqr (* 2 (* (sqr b) (sqr a)))) (- (sqr (+ (pow a 4) (pow b 4))) (* (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (107 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (+ (* (- (+ (* (* (sqr a) (* (+ b b) b)) (* (sqr a) (* (+ b b) b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (* (sqr a) (* (+ b b) b)) (+ (pow b 4) (pow a 4)))) (+ (* (* (* 4 (- 1 a)) (sqr b)) (- 1 (* (* a 3) (* a 3)))) (* (* (- 1 (sqr a)) (sqr a)) (* (+ 1 (* a 3)) 4)))) (* (+ (cube (+ (pow b 4) (pow a 4))) (cube (* (sqr a) (* (+ b b) b)))) (* (+ 1 (* a 3)) (- 1 a)))) * [exit]simplify: Simplified to (+ (* (- (+ (* (* (sqr a) (* (+ b b) b)) (* (sqr a) (* (+ b b) b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (* (sqr a) (* (+ b b) b)) (+ (pow b 4) (pow a 4)))) (+ (* (* (* 4 (- 1 a)) (sqr b)) (- 1 (* (* a 3) (* a 3)))) (* (* (- 1 (sqr a)) (sqr a)) (* (+ 1 (* a 3)) 4)))) (* (+ (cube (+ (pow b 4) (pow a 4))) (cube (* (sqr a) (* (+ b b) b)))) (* (+ 1 (* a 3)) (- 1 a)))) * [enter]simplify: Simplifying (* (+ (sqr (* 2 (* (sqr b) (sqr a)))) (- (sqr (+ (pow a 4) (pow b 4))) (* (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))))) (* (- 1 a) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (+ (* (* a b) (* a b)) (* (* a b) (* a b))) (- (+ (pow a 4) (pow b 4)) (+ (* (* a b) (* a b)) (* (* a b) (* a b)))))) (+ (* (- 1 a) (* a 3)) (- 1 a))) * [exit]simplify: Simplified to (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (+ (* (* a b) (* a b)) (* (* a b) (* a b))) (- (+ (pow a 4) (pow b 4)) (+ (* (* a b) (* a b)) (* (* a b) (* a b)))))) (+ (* (- 1 a) (* a 3)) (- 1 a))) * * * * [misc]progress: [ 44 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (* 2 (* (sqr b) (sqr a))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (+ (sqr (* 2 (* (sqr b) (sqr a)))) (- (sqr (+ (pow a 4) (pow b 4))) (* (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (108 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (+ (* (- (+ (* (* (sqr a) (* b (+ b b))) (* (sqr a) (* b (+ b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (* (sqr a) (* b (+ b b))) (+ (pow b 4) (pow a 4)))) (* (+ (cube (* (+ 1 a) (sqr a))) (cube (* (sqr b) (- 1 (* a 3))))) 4)) (* (- (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ 1 a) (sqr a)) (- (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (sqr a))))) (+ (cube (+ (pow b 4) (pow a 4))) (cube (* (sqr a) (* b (+ b b))))))) * [exit]simplify: Simplified to (+ (* (- (+ (* (* (sqr a) (* b (+ b b))) (* (sqr a) (* b (+ b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (* (sqr a) (* b (+ b b))) (+ (pow b 4) (pow a 4)))) (* (+ (cube (* (+ 1 a) (sqr a))) (cube (* (sqr b) (- 1 (* a 3))))) 4)) (* (- (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ 1 a) (sqr a)) (- (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (sqr a))))) (+ (cube (+ (pow b 4) (pow a 4))) (cube (* (sqr a) (* b (+ b b))))))) * [enter]simplify: Simplifying (* (+ (sqr (* 2 (* (sqr b) (sqr a)))) (- (sqr (+ (pow a 4) (pow b 4))) (* (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow 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 (29 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (431 enodes) * [exit]simplify: Simplified to (* (+ (* (* (sqr b) (+ (sqr a) (sqr a))) (* (sqr b) (+ (sqr a) (sqr a)))) (* (+ (pow a 4) (pow b 4)) (- (+ (pow a 4) (pow b 4)) (* (sqr b) (+ (sqr a) (sqr a)))))) (- (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (sqr a) (+ 1 a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (sqr a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (+ (* (* (sqr b) (+ (sqr a) (sqr a))) (* (sqr b) (+ (sqr a) (sqr a)))) (* (+ (pow a 4) (pow b 4)) (- (+ (pow a 4) (pow b 4)) (* (sqr b) (+ (sqr a) (sqr a)))))) (- (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (sqr a) (+ 1 a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (sqr a) (+ 1 a)))))) * * * * [misc]progress: [ 45 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (* 2 (* (sqr b) (sqr a))) 3) (pow (+ (pow a 4) (pow b 4)) 3)) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* 2 (* (sqr b) (sqr a)))) (- (sqr (+ (pow a 4) (pow b 4))) (* (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (86 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr b) (+ (sqr a) (sqr a))) (* (sqr b) (+ (sqr a) (sqr a)))) 4) (* (* 4 (+ (pow b 4) (pow a 4))) (- (- (+ (pow b 4) (pow a 4)) (* (sqr b) (sqr a))) (* (sqr b) (sqr a))))) (- (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))))) (* (+ (cube (+ (pow b 4) (pow a 4))) (cube (* (sqr b) (+ (sqr a) (sqr a))))) (- (* (+ 1 a) (sqr a)) (* (sqr b) (- 1 (* a 3)))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr b) (+ (sqr a) (sqr a))) (* (sqr b) (+ (sqr a) (sqr a)))) 4) (* (* 4 (+ (pow b 4) (pow a 4))) (- (- (+ (pow b 4) (pow a 4)) (* (sqr b) (sqr a))) (* (sqr b) (sqr a))))) (- (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))))) (* (+ (cube (+ (pow b 4) (pow a 4))) (cube (* (sqr b) (+ (sqr a) (sqr a))))) (- (* (+ 1 a) (sqr a)) (* (sqr b) (- 1 (* a 3)))))) * [enter]simplify: Simplifying (* (+ (sqr (* 2 (* (sqr b) (sqr a)))) (- (sqr (+ (pow a 4) (pow b 4))) (* (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (* (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (+ (* (* (sqr b) (* a (+ a a))) (* (sqr b) (* a (+ a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (sqr b) (* a (+ a a)))) (+ (pow a 4) (pow b 4))))) * [exit]simplify: Simplified to (* (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) (+ (* (* (sqr b) (* a (+ a a))) (* (sqr b) (* a (+ a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (sqr b) (* a (+ a a)))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 46 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (sqr (* 2 (* (sqr b) (sqr a)))) (sqr (+ (pow a 4) (pow b 4)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (- (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (111 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))) (* (* (sqr a) (+ 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* 4 (- (* (sqr b) (+ (sqr a) (sqr a))) (+ (pow a 4) (pow b 4))))) (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (- (* (* (sqr b) (+ (sqr a) (sqr a))) (* (sqr b) (+ (sqr a) (sqr a)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr b) (- (sqr a) (- a 1))) (- 1 (cube (* 3 a)))) (* (* (sqr a) (+ 1 (cube a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* 4 (- (* (sqr b) (+ (sqr a) (sqr a))) (+ (pow a 4) (pow b 4))))) (* (* (- (sqr a) (- a 1)) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (- (* (* (sqr b) (+ (sqr a) (sqr a))) (* (sqr b) (+ (sqr a) (sqr a)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [enter]simplify: Simplifying (* (- (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (55 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (+ (* (* a b) (* a b)) (- (* (* a b) (* a b)) (+ (pow b 4) (pow a 4))))) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- (sqr a) (- a 1))) (+ (* (* a b) (* a b)) (- (* (* a b) (* a b)) (+ (pow b 4) (pow a 4))))) * * * * [misc]progress: [ 47 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (sqr (* 2 (* (sqr b) (sqr a)))) (sqr (+ (pow a 4) (pow b 4)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (- (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (108 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a))) (- (* (* (* (+ b b) b) (sqr a)) (* (* (+ b b) b) (sqr a))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ 1 (cube a)) (sqr a)) (+ (* 3 a) 1)) (* (* (+ (sqr a) (- 1 a)) (sqr b)) (- 1 (* (* 3 a) (* 3 a))))) (* 4 (+ (* (sqr b) (sqr a)) (- (* (sqr b) (sqr a)) (+ (pow a 4) (pow b 4))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* 3 a) 1) (+ (sqr a) (- 1 a))) (- (* (* (* (+ b b) b) (sqr a)) (* (* (+ b b) b) (sqr a))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* (+ 1 (cube a)) (sqr a)) (+ (* 3 a) 1)) (* (* (+ (sqr a) (- 1 a)) (sqr b)) (- 1 (* (* 3 a) (* 3 a))))) (* 4 (+ (* (sqr b) (sqr a)) (- (* (sqr b) (sqr a)) (+ (pow a 4) (pow b 4))))))) * [enter]simplify: Simplifying (* (- (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (- (- (* (* a b) (* a b)) (pow a 4)) (- (pow b 4) (* (* a b) (* a b)))) (* (- (sqr a) (- a 1)) (+ 1 (* a 3)))) * [exit]simplify: Simplified to (* (- (- (* (* a b) (* a b)) (pow a 4)) (- (pow b 4) (* (* a b) (* a b)))) (* (- (sqr a) (- a 1)) (+ 1 (* a 3)))) * * * * [misc]progress: [ 48 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (sqr (* 2 (* (sqr b) (sqr a)))) (sqr (+ (pow a 4) (pow b 4)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (- (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (99 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (cube (* 3 a))) (* (- 1 a) (sqr b))) (* (* (sqr a) (- 1 (sqr a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (- (* (sqr b) (+ (sqr a) (sqr a))) (+ (pow a 4) (pow b 4))) 4)) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- 1 a)) (- (* (* (sqr b) (+ (sqr a) (sqr a))) (* (sqr b) (+ (sqr a) (sqr a)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (cube (* 3 a))) (* (- 1 a) (sqr b))) (* (* (sqr a) (- 1 (sqr a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (- (* (sqr b) (+ (sqr a) (sqr a))) (+ (pow a 4) (pow b 4))) 4)) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- 1 a)) (- (* (* (sqr b) (+ (sqr a) (sqr a))) (* (sqr b) (+ (sqr a) (sqr a)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [enter]simplify: Simplifying (* (- (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (* (+ (- (* (* a b) (* a b)) (pow a 4)) (- (* (* a b) (* a b)) (pow b 4))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (- 1 a))) * [exit]simplify: Simplified to (* (+ (- (* (* a b) (* a b)) (pow a 4)) (- (* (* a b) (* a b)) (pow b 4))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (- 1 a))) * * * * [misc]progress: [ 49 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (sqr (* 2 (* (sqr b) (sqr a)))) (sqr (+ (pow a 4) (pow b 4)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (- (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (94 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 a) (sqr b)) (- 1 (* (* a 3) (* a 3)))) (* (* (- 1 (sqr a)) (+ 1 (* a 3))) (sqr a))) (* (+ (- (* (sqr b) (sqr a)) (+ (pow a 4) (pow b 4))) (* (sqr b) (sqr a))) 4)) (* (+ (- 1 a) (* (* a 3) (- 1 a))) (- (* (* (* (+ b b) b) (sqr a)) (* (* (+ b b) b) (sqr a))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 a) (sqr b)) (- 1 (* (* a 3) (* a 3)))) (* (* (- 1 (sqr a)) (+ 1 (* a 3))) (sqr a))) (* (+ (- (* (sqr b) (sqr a)) (+ (pow a 4) (pow b 4))) (* (sqr b) (sqr a))) 4)) (* (+ (- 1 a) (* (* a 3) (- 1 a))) (- (* (* (* (+ b b) b) (sqr a)) (* (* (+ b b) b) (sqr a))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [enter]simplify: Simplifying (* (- (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* (- 1 a) (+ 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (* (+ (- (* (* a b) (* a b)) (+ (pow b 4) (pow a 4))) (* (* a b) (* a b))) (+ (* (- 1 a) (* a 3)) (- 1 a))) * [exit]simplify: Simplified to (* (+ (- (* (* a b) (* a b)) (+ (pow b 4) (pow a 4))) (* (* a b) (* a b))) (+ (* (- 1 a) (* a 3)) (- 1 a))) * * * * [misc]progress: [ 50 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (sqr (* 2 (* (sqr b) (sqr a)))) (sqr (+ (pow a 4) (pow b 4)))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (- (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (95 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (* (sqr b) (sqr a)) (- (* (sqr b) (sqr a)) (+ (pow a 4) (pow b 4))))) (+ (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (- (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3))))) (- (* (+ (* (sqr b) (sqr a)) (* (sqr b) (sqr a))) (+ (* (sqr b) (sqr a)) (* (sqr b) (sqr a)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [exit]simplify: Simplified to (+ (* (* 4 (+ (* (sqr b) (sqr a)) (- (* (sqr b) (sqr a)) (+ (pow a 4) (pow b 4))))) (+ (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a))))) (* (+ (sqr (* (+ a 1) (sqr a))) (* (- (* (sqr b) (- 1 (* a 3))) (* (+ a 1) (sqr a))) (* (sqr b) (- 1 (* a 3))))) (- (* (+ (* (sqr b) (sqr a)) (* (sqr b) (sqr a))) (+ (* (sqr b) (sqr a)) (* (sqr b) (sqr a)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))))) * [enter]simplify: Simplifying (* (- (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow 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 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (* (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (sqr a) (+ 1 a)) (- (* (- 1 (* a 3)) (sqr b)) (* (sqr a) (+ 1 a))))) (+ (- (* (sqr b) (sqr a)) (pow a 4)) (- (* (sqr b) (sqr a)) (pow b 4)))) * [exit]simplify: Simplified to (* (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (sqr a) (+ 1 a)) (- (* (- 1 (* a 3)) (sqr b)) (* (sqr a) (+ 1 a))))) (+ (- (* (sqr b) (sqr a)) (pow a 4)) (- (* (sqr b) (sqr a)) (pow b 4)))) * * * * [misc]progress: [ 51 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (sqr (* 2 (* (sqr b) (sqr a)))) (sqr (+ (pow a 4) (pow b 4)))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (- (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (73 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (sqr b) (+ (sqr a) (sqr a))) (* (sqr b) (+ (sqr a) (sqr a)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (- (* (+ a 1) (sqr a)) (* (sqr b) (- 1 (* a 3))))) (* (* (+ (* (+ a 1) (sqr a)) (* (sqr b) (- 1 (* a 3)))) (- (* (+ a 1) (sqr a)) (* (sqr b) (- 1 (* a 3))))) (* (- (* (sqr b) (+ (sqr a) (sqr a))) (+ (pow a 4) (pow b 4))) 4))) * [exit]simplify: Simplified to (+ (* (- (* (* (sqr b) (+ (sqr a) (sqr a))) (* (sqr b) (+ (sqr a) (sqr a)))) (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4)))) (- (* (+ a 1) (sqr a)) (* (sqr b) (- 1 (* a 3))))) (* (* (+ (* (+ a 1) (sqr a)) (* (sqr b) (- 1 (* a 3)))) (- (* (+ a 1) (sqr a)) (* (sqr b) (- 1 (* a 3))))) (* (- (* (sqr b) (+ (sqr a) (sqr a))) (+ (pow a 4) (pow b 4))) 4))) * [enter]simplify: Simplifying (* (- (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (- (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b))) (- (- (* (sqr b) (sqr a)) (pow a 4)) (- (pow b 4) (* (sqr b) (sqr a))))) * [exit]simplify: Simplified to (* (- (* (sqr a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b))) (- (- (* (sqr b) (sqr a)) (pow a 4)) (- (pow b 4) (* (sqr b) (sqr a))))) * * * * [misc]progress: [ 52 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 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 (56 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * [exit]simplify: Simplified to (+ (cube (+ (+ (* (sqr b) (sqr a)) (pow a 4)) (+ (pow b 4) (* (sqr b) (sqr a))))) (cube (+ (* (sqr a) (+ 4 (* a 4))) (* (* 4 (sqr b)) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (cube (+ (+ (* (sqr b) (sqr a)) (pow a 4)) (+ (pow b 4) (* (sqr b) (sqr a))))) (cube (+ (* (sqr a) (+ 4 (* a 4))) (* (* 4 (sqr b)) (- 1 (* 3 a)))))) * [enter]simplify: Simplifying (+ (sqr (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4)))) (- (sqr (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (+ (* (+ (+ (pow b 4) (* (sqr b) (sqr a))) (+ (* (sqr b) (sqr a)) (pow a 4))) (+ (+ (pow b 4) (* (sqr b) (sqr a))) (+ (* (sqr b) (sqr a)) (pow a 4)))) (* (+ (* (- 1 (* a 3)) (* (* 4 b) b)) (* (sqr a) (+ (* a 4) 4))) (- (+ (* (- 1 (* a 3)) (* (* 4 b) b)) (* (sqr a) (+ (* a 4) 4))) (+ (+ (pow b 4) (* (sqr b) (sqr a))) (+ (* (sqr b) (sqr a)) (pow a 4)))))) * [exit]simplify: Simplified to (+ (* (+ (+ (pow b 4) (* (sqr b) (sqr a))) (+ (* (sqr b) (sqr a)) (pow a 4))) (+ (+ (pow b 4) (* (sqr b) (sqr a))) (+ (* (sqr b) (sqr a)) (pow a 4)))) (* (+ (* (- 1 (* a 3)) (* (* 4 b) b)) (* (sqr a) (+ (* a 4) 4))) (- (+ (* (- 1 (* a 3)) (* (* 4 b) b)) (* (sqr a) (+ (* a 4) 4))) (+ (+ (pow b 4) (* (sqr b) (sqr a))) (+ (* (sqr b) (sqr a)) (pow a 4)))))) * * * * [misc]progress: [ 53 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4)))) (sqr (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * [exit]simplify: Simplified to (* (- (+ (+ (* (sqr b) (sqr a)) (pow a 4)) (+ (pow b 4) (* (sqr b) (sqr a)))) (+ (* (- 1 (* a 3)) (* 4 (sqr b))) (* (sqr a) (+ (* a 4) 4)))) (+ (+ (+ (* (sqr b) (sqr a)) (pow a 4)) (+ (pow b 4) (* (sqr b) (sqr a)))) (+ (* (- 1 (* a 3)) (* 4 (sqr b))) (* (sqr a) (+ (* a 4) 4))))) * [exit]simplify: Simplified to (* (- (+ (+ (* (sqr b) (sqr a)) (pow a 4)) (+ (pow b 4) (* (sqr b) (sqr a)))) (+ (* (- 1 (* a 3)) (* 4 (sqr b))) (* (sqr a) (+ (* a 4) 4)))) (+ (+ (+ (* (sqr b) (sqr a)) (pow a 4)) (+ (pow b 4) (* (sqr b) (sqr a)))) (+ (* (- 1 (* a 3)) (* 4 (sqr b))) (* (sqr a) (+ (* a 4) 4))))) * [enter]simplify: Simplifying (- (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (sqr b) (sqr a)) (+ (pow b 4) (pow a 4))) (* (sqr b) (sqr a))) (+ (* (* a 4) (+ a (sqr a))) (* (* (* 4 b) b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (- (+ (+ (* (sqr b) (sqr a)) (+ (pow b 4) (pow a 4))) (* (sqr b) (sqr a))) (+ (* (* a 4) (+ a (sqr a))) (* (* (* 4 b) b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 55 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (* (sqr a) (+ 1 a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (+ (* (sqr a) (+ (* a 4) 4)) (* (+ (sqr a) (sqr a)) (sqr b)))) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (+ (* (sqr a) (+ (* a 4) 4)) (* (+ (sqr a) (sqr a)) (sqr b)))) * * * * [misc]progress: [ 56 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* (* (sqr a) (+ 1 a)) 4)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (+ (+ 4 (sqr b)) (+ (sqr b) (* a 4))) (sqr a))) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (+ (+ 4 (sqr b)) (+ (sqr b) (* a 4))) (sqr a))) * * * * [misc]progress: [ 57 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (pow a 4) (pow b 4)) (* 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 (70 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (* a 3)) (* (* b 4) b)) (+ (* (* a a) (+ 4 (* 4 a))) (+ (pow b 4) (pow a 4)))) * [exit]simplify: Simplified to (+ (* (- 1 (* a 3)) (* (* b 4) b)) (+ (* (* a a) (+ 4 (* 4 a))) (+ (pow b 4) (pow a 4)))) * * * * [misc]progress: [ 58 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 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 (* 3 a)) (* b b)) * [exit]simplify: Simplified to (* (- 1 (* 3 a)) (* b b)) * * * * [misc]progress: [ 60 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 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 (21 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (+ (log (- 1 (* a 3))) (+ (log b) (log b))) * [exit]simplify: Simplified to (+ (log (- 1 (* a 3))) (+ (log b) (log b))) * * * * [misc]progress: [ 62 / 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 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (log (* (- 1 (* 3 a)) (* b b))) * [exit]simplify: Simplified to (log (* (- 1 (* 3 a)) (* b b))) * * * * [misc]progress: [ 63 / 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 (* b b)) (- 1 (* 3 a))) * [exit]simplify: Simplified to (pow (exp (* b b)) (- 1 (* 3 a))) * * * * [misc]progress: [ 64 / 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 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (cube (- 1 (* a 3))) (cube (* b b))) * [exit]simplify: Simplified to (* (cube (- 1 (* a 3))) (cube (* b b))) * * * * [misc]progress: [ 65 / 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 (* 3 a)) (* b b))) * [exit]simplify: Simplified to (cbrt (* (- 1 (* 3 a)) (* b b))) * * * * [misc]progress: [ 66 / 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 (62 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (cube (* (- 1 (* 3 a)) (* b b))) * [exit]simplify: Simplified to (cube (* (- 1 (* 3 a)) (* b b))) * * * * [misc]progress: [ 67 / 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 (* a 3))) (cbrt (* b b))) * [exit]simplify: Simplified to (* (cbrt (- 1 (* a 3))) (cbrt (* b b))) * * * * [misc]progress: [ 68 / 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 (* 3 a)) (* b b))) * [exit]simplify: Simplified to (sqrt (* (- 1 (* 3 a)) (* b b))) * * * * [misc]progress: [ 69 / 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: [ 70 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 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 (* b b) * [exit]simplify: Simplified to (* b 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 (90 enodes) * [exit]simplify: Simplified to (* a (* (- b) (* b 3))) * [exit]simplify: Simplified to (* a (* (- b) (* b 3))) * * * * [misc]progress: [ 72 / 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 (34 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (- (* a 3)) (* b b)) * [exit]simplify: Simplified to (* (- (* a 3)) (* b b)) * * * * [misc]progress: [ 73 / 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 (* b b) * [exit]simplify: Simplified to (* b b) * * * * [misc]progress: [ 74 / 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 (* (- 1 (* 3 a)) b) * [exit]simplify: Simplified to (* (- 1 (* 3 a)) b) * * * * [misc]progress: [ 75 / 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 (* 3 a)) (* b b)) * [exit]simplify: Simplified to (* (- 1 (* 3 a)) (* b b)) * * * * [misc]progress: [ 76 / 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 (74 enodes) * [exit]simplify: Simplified to (* (* b b) (- 1 (cube (* 3 a)))) * [exit]simplify: Simplified to (* (* b b) (- 1 (cube (* 3 a)))) * * * * [misc]progress: [ 77 / 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 (172 enodes) * [exit]simplify: Simplified to (* (* b b) (- 1 (* (* a 3) (* a 3)))) * [exit]simplify: Simplified to (* (* b b) (- 1 (* (* a 3) (* a 3)))) * * * * [misc]progress: [ 78 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 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 (94 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (exp (* (+ a 1) (* a a))) (pow (exp (* b b)) (- 1 (* a 3)))) * [exit]simplify: Simplified to (* (exp (* (+ a 1) (* a a))) (pow (exp (* b b)) (- 1 (* a 3)))) * * * * [misc]progress: [ 80 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 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 (88 enodes) * [exit]simplify: Simplified to (log (+ (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (log (+ (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 82 / 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 (124 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (exp (* (+ a 1) (* a a))) (pow (exp (* b b)) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (* (exp (* (+ a 1) (* a a))) (pow (exp (* b b)) (- 1 (* 3 a)))) * * * * [misc]progress: [ 83 / 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 (88 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (cbrt (+ (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 84 / 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 (117 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * [exit]simplify: Simplified to (cube (+ (* (* a a) (+ a 1)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (cube (+ (* (* a a) (+ a 1)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 85 / 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 (88 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 86 / 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 (62 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (- a 1)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (* 3 a) (* 3 a)) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (- a 1)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (* 3 a) (* 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 (161 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) * [exit]simplify: Simplified to (* (+ (* a a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) * * * * [misc]progress: [ 87 / 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 (59 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (* (cube a) (* a a))))) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (- a 1)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (* (cube a) (* a 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 (56 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (+ (* 3 a) 1) (- (* a a) (- a 1))) * [exit]simplify: Simplified to (* (+ (* 3 a) 1) (- (* a a) (- a 1))) * * * * [misc]progress: [ 88 / 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 (120 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (+ (* (* (* a a) (- 1 (* a a))) (+ (sqr (* a 3)) (+ 1 (* a 3)))) (* (* (sqr b) (- 1 a)) (- 1 (cube (* a 3))))) * [exit]simplify: Simplified to (+ (* (* (* a a) (- 1 (* a a))) (+ (sqr (* a 3)) (+ 1 (* a 3)))) (* (* (sqr b) (- 1 a)) (- 1 (cube (* a 3))))) * [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 (94 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (168 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: [ 89 / 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 (189 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * * [misc]simplify: iters left: 1 (460 enodes) * [exit]simplify: Simplified to (* (+ (* a 3) 1) (+ (* (* a a) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (- 1 (* a 3))))) * [exit]simplify: Simplified to (* (+ (* a 3) 1) (+ (* (* a a) (- 1 (* a a))) (* (* (- 1 a) (* b b)) (- 1 (* a 3))))) * [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 (64 enodes) * [exit]simplify: Simplified to (+ (* (* 3 a) (- 1 a)) (- 1 a)) * [exit]simplify: Simplified to (+ (* (* 3 a) (- 1 a)) (- 1 a)) * * * * [misc]progress: [ 90 / 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 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) * [exit]simplify: Simplified to (+ (cube (* (+ a 1) (* a 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)))))) * * [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 (112 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (+ (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ a 1) (* a a))))) * [exit]simplify: Simplified to (+ (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ a 1) (* a a))))) * * * * [misc]progress: [ 91 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 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 (106 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b))) (- (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b)))) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b))) (- (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b)))) * [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) (* a a)) (* (* b b) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (- (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) * * * * [misc]progress: [ 93 / 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 (48 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (+ (* (+ a 1) (* a a)) (* b b)) * [exit]simplify: Simplified to (+ (* (+ a 1) (* a a)) (* b b)) * * * * [misc]progress: [ 94 / 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 (48 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (+ (* (+ a 1) (* a a)) (* b b)) * [exit]simplify: Simplified to (+ (* (+ a 1) (* a a)) (* b b)) * * * * [misc]progress: [ 95 / 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 (+ (cube a) (* (- 1 (* a 3)) (sqr b))) * [exit]simplify: Simplified to (+ (cube a) (* (- 1 (* a 3)) (sqr b))) * * * * [misc]progress: [ 96 / 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 (+ (cube a) (* (- 1 (* a 3)) (sqr b))) * [exit]simplify: Simplified to (+ (cube a) (* (- 1 (* a 3)) (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 (- (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))))) (* (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)))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (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))))) (* (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)))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (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))))) in b * [misc]taylor: Taking taylor expansion of (* (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))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (- (sqr (sqr a)) (sqr (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (sqr a)) (sqr (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)) 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 (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in b * [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 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 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) 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 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) 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 (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (* (sqr a) (+ 1 a)) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr a) (+ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr a) (+ 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 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]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 (* (+ 1 a) (sqr a)) * [misc]backup-simplify: Simplify (log (* (+ 1 a) (sqr a))) into (log (* (+ 1 a) (sqr a))) * [misc]backup-simplify: Simplify (* 3 (log (* (+ 1 a) (sqr a)))) into (* 3 (log (* (+ 1 a) (sqr a)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (+ 1 a) (sqr a))))) into (pow (* (+ 1 a) (sqr a)) 3) * [misc]taylor: Taking taylor expansion of (pow (* (sqr b) (- 1 (* 3 a))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr b) (- 1 (* 3 a)))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr b) (- 1 (* 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 (log (* (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]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 (+ (* 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 (+ (* 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 (log (- 1 (* 3 a))) into (log (- 1 (* 3 a))) * [misc]backup-simplify: Simplify (+ (* (- -2) (log b)) (log (- 1 (* 3 a)))) into (+ (* 2 (log b)) (log (- 1 (* 3 a)))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a))))) into (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a))))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a)))))) into (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a)))))) * [misc]taylor: Taking taylor expansion of (* (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))))))) 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 (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in b * [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 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 (* 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 (- 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 (* (+ 1 a) (sqr a)) * [misc]backup-simplify: Simplify (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) into (* (sqr (+ 1 a)) (pow a 4)) * [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 (* a a) into (sqr a) * [misc]backup-simplify: Simplify (+ 1 a) into (+ 1 a) * [misc]backup-simplify: Simplify (* (sqr a) (+ 1 a)) into (* (+ 1 a) (sqr 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 (* (* (+ 1 a) (sqr a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (+ 1 a)) (pow a 4)) 0) into (+ (pow a 6) (+ (pow a 4) (* 2 (pow a 5)))) * [misc]backup-simplify: Simplify (* (pow a 8) (+ (pow a 6) (+ (pow a 4) (* 2 (pow a 5))))) into (* (+ (* 2 (pow a 5)) (+ (pow a 4) (pow a 6))) (pow a 8)) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr a) 0) into (sqr a) * [misc]backup-simplify: Simplify (* (sqr a) (sqr a)) into (pow a 4) * [misc]backup-simplify: Simplify (+ (pow (* (+ 1 a) (sqr a)) 3) (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a))))))) into (+ (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a)))))) (+ (pow a 9) (+ (* 3 (pow a 8)) (+ (* 3 (pow a 7)) (pow a 6))))) * [misc]backup-simplify: Simplify (* 4 (+ (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a)))))) (+ (pow a 9) (+ (* 3 (pow a 8)) (+ (* 3 (pow a 7)) (pow a 6)))))) into (* 4 (+ (* 3 (pow a 8)) (+ (pow a 9) (+ (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a)))))) (+ (* 3 (pow a 7)) (pow a 6)))))) * [misc]backup-simplify: Simplify (* (pow a 4) (* 4 (+ (* 3 (pow a 8)) (+ (pow a 9) (+ (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a)))))) (+ (* 3 (pow a 7)) (pow a 6))))))) into (* 4 (* (+ (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a)))))) (+ (pow a 9) (+ (* 3 (pow a 8)) (+ (* 3 (pow a 7)) (pow a 6))))) (pow a 4))) * [misc]backup-simplify: Simplify (+ (* (+ (* 2 (pow a 5)) (+ (pow a 4) (pow a 6))) (pow a 8)) (* 4 (* (+ (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a)))))) (+ (pow a 9) (+ (* 3 (pow a 8)) (+ (* 3 (pow a 7)) (pow a 6))))) (pow a 4)))) into (+ (* 6 (pow a 13)) (+ (* 4 (* (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a)))))) (pow a 4))) (+ (* 12 (pow a 11)) (+ (pow a 14) (+ (* 4 (pow a 10)) (* 13 (pow a 12))))))) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr a) 0) into (sqr a) * [misc]backup-simplify: Simplify (* (sqr a) (sqr a)) 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 (* (+ 1 a) (sqr a)) * [misc]backup-simplify: Simplify (* (* (+ 1 a) (sqr a)) (* (+ 1 a) (sqr a))) into (* (sqr (+ 1 a)) (pow a 4)) * [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 (* a a) into (sqr a) * [misc]backup-simplify: Simplify (+ 1 a) into (+ 1 a) * [misc]backup-simplify: Simplify (* (sqr a) (+ 1 a)) into (* (+ 1 a) (sqr 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 (* (* (+ 1 a) (sqr a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (+ 1 a)) (pow a 4)) 0) into (+ (pow a 6) (+ (pow a 4) (* 2 (pow a 5)))) * [misc]backup-simplify: Simplify (* (pow a 4) (+ (pow a 6) (+ (pow a 4) (* 2 (pow a 5))))) into (* (+ (* 2 (pow a 5)) (+ (pow a 4) (pow a 6))) (pow a 4)) * [misc]backup-simplify: Simplify (/ (+ (* 6 (pow a 13)) (+ (* 4 (* (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a)))))) (pow a 4))) (+ (* 12 (pow a 11)) (+ (pow a 14) (+ (* 4 (pow a 10)) (* 13 (pow a 12))))))) (* (+ (* 2 (pow a 5)) (+ (pow a 4) (pow a 6))) (pow a 4))) into (/ (+ (* 6 (pow a 13)) (+ (* 4 (pow a 10)) (+ (* 12 (pow a 11)) (+ (* 4 (* (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a)))))) (pow a 4))) (+ (pow a 14) (* 13 (pow a 12))))))) (* (+ (pow a 6) (+ (pow a 4) (* 2 (pow a 5)))) (pow a 4))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (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))))) (* (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)))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (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))))) in a * [misc]taylor: Taking taylor expansion of (* (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))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (sqr (sqr a)) (sqr (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr a)) (sqr (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)) 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 (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [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 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 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) 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 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 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 (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (sqr a) (+ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr a) (+ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr a) (+ 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 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]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 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) 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 (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) (- 1 (* 3 a))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr b) (- 1 (* 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 (log (* (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 (* 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 (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 (- (sqr a) (sqr b))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (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 (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [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 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 (* 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 (- (pow b 4)) 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 (* 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 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 8) (pow b 4)) into (pow b 12) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b 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 (* (- (sqr b)) (- (sqr b))) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow a 6) (pow (sqr b) 3)) into (+ (pow a 6) (pow b 6)) * [misc]backup-simplify: Simplify (* 4 (+ (pow a 6) (pow b 6))) into (* 4 (+ (pow a 6) (pow b 6))) * [misc]backup-simplify: Simplify (* (pow b 4) (* 4 (+ (pow a 6) (pow b 6)))) into (* 4 (* (+ (pow a 6) (pow b 6)) (pow b 4))) * [misc]backup-simplify: Simplify (+ (pow b 12) (* 4 (* (+ (pow a 6) (pow b 6)) (pow b 4)))) into (+ (* 4 (* (pow b 4) (pow a 6))) (+ (* 4 (pow b 10)) (pow b 12))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b 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 (* (- (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 (* 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 (* 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 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 (/ (+ (* 4 (* (pow b 4) (pow a 6))) (+ (* 4 (pow b 10)) (pow b 12))) (pow b 8)) into (/ (+ (* 4 (* (pow b 4) (pow a 6))) (+ (* 4 (pow b 10)) (pow b 12))) (pow b 8)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (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))))) (* (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)))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (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))))) in a * [misc]taylor: Taking taylor expansion of (* (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))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (sqr (sqr a)) (sqr (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr a)) (sqr (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)) 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 (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [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 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 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) 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 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 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 (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (sqr a) (+ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr a) (+ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr a) (+ 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 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]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 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) 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 (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) (- 1 (* 3 a))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr b) (- 1 (* 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 (log (* (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 (* 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 (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 (- (sqr a) (sqr b))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (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 (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [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 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 (* 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 (- (pow b 4)) 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 (* 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 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 8) (pow b 4)) into (pow b 12) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b 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 (* (- (sqr b)) (- (sqr b))) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow a 6) (pow (sqr b) 3)) into (+ (pow a 6) (pow b 6)) * [misc]backup-simplify: Simplify (* 4 (+ (pow a 6) (pow b 6))) into (* 4 (+ (pow a 6) (pow b 6))) * [misc]backup-simplify: Simplify (* (pow b 4) (* 4 (+ (pow a 6) (pow b 6)))) into (* 4 (* (+ (pow a 6) (pow b 6)) (pow b 4))) * [misc]backup-simplify: Simplify (+ (pow b 12) (* 4 (* (+ (pow a 6) (pow b 6)) (pow b 4)))) into (+ (* 4 (* (pow b 4) (pow a 6))) (+ (* 4 (pow b 10)) (pow b 12))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b 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 (* (- (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 (* 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 (* 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 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 (/ (+ (* 4 (* (pow b 4) (pow a 6))) (+ (* 4 (pow b 10)) (pow b 12))) (pow b 8)) into (/ (+ (* 4 (* (pow b 4) (pow a 6))) (+ (* 4 (pow b 10)) (pow b 12))) (pow b 8)) * [misc]taylor: Taking taylor expansion of (/ (+ (* 4 (* (pow b 4) (pow a 6))) (+ (* 4 (pow b 10)) (pow b 12))) (pow b 8)) in b * [misc]taylor: Taking taylor expansion of (+ (* 4 (* (pow b 4) (pow a 6))) (+ (* 4 (pow b 10)) (pow b 12))) in b * [misc]taylor: Taking taylor expansion of (* 4 (* (pow b 4) (pow a 6))) 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 4) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (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 (+ (* 4 (pow b 10)) (pow b 12)) in b * [misc]taylor: Taking taylor expansion of (* 4 (pow b 10)) 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 10) in b * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]backup-simplify: Simplify (* 1 (pow a 6)) into (pow a 6) * [misc]backup-simplify: Simplify (* 4 (pow a 6)) into (* 4 (pow a 6)) * [misc]backup-simplify: Simplify (+ (* 4 (pow a 6)) 0) into (* 4 (pow a 6)) * [misc]backup-simplify: Simplify (/ (* 4 (pow a 6)) 1) into (* 4 (pow a 6)) * [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 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 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 (* (exp (* 6 (log a))) (+ (* (/ (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6))))) 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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (pow a 6))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 4 (pow a 6)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow a 6)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 4 (pow a 6)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 4 (pow a 6)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 4 (pow a 6)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 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 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 (- (* 3 (sqr b)))) (* 0 (sqr b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 6 (pow b 4))) 0) into (- (* 6 (pow b 4))) * [misc]backup-simplify: Simplify (+ 0 (- (* 6 (pow b 4)))) into (- (* 6 (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 (- 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) (- (* 6 (pow b 4)))) (* 0 (pow b 4))) into (- (* 6 (pow b 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 (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 (* 2 (log a)))) into 3 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 3 1) 1)))) into (* 3 (pow a 6)) * [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 (/ (+ (* 1 (/ (* (pow (* 1 (- (* 3 (sqr b)))) 1)) (pow (sqr b) 1)))) 1) into -3 * [misc]backup-simplify: Simplify (+ (* 3 -3) (* 0 (log (sqr b)))) into (- 9) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqr b)))) (+ (* (/ (pow (- 9) 1) 1)))) into (* -9 (pow b 6)) * [misc]backup-simplify: Simplify (+ (* 3 (pow a 6)) (* -9 (pow b 6))) into (- (* 3 (pow a 6)) (* 9 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 3 (pow a 6)) (* 9 (pow b 6)))) (* 0 (+ (pow a 6) (pow b 6)))) into (- (* 12 (pow a 6)) (* 36 (pow b 6))) * [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) 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 (+ (* (pow b 4) (- (* 12 (pow a 6)) (* 36 (pow b 6)))) (* 0 (* 4 (+ (pow a 6) (pow b 6))))) into (- (* 12 (* (pow b 4) (pow a 6))) (* 36 (pow b 10))) * [misc]backup-simplify: Simplify (+ (- (* 6 (pow b 12))) (- (* 12 (* (pow b 4) (pow a 6))) (* 36 (pow b 10)))) into (- (* 12 (* (pow b 4) (pow a 6))) (+ (* 36 (pow b 10)) (* 6 (pow b 12)))) * [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 (+ (* 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 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 (- (* 3 (sqr b)))) (* 0 (sqr b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 6 (pow b 4))) 0) into (- (* 6 (pow b 4))) * [misc]backup-simplify: Simplify (+ 0 (- (* 6 (pow b 4)))) into (- (* 6 (pow b 4))) * [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) 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 (+ (* (pow b 4) (- (* 6 (pow b 4)))) (* 0 (pow b 4))) into (- (* 6 (pow b 8))) * [misc]backup-simplify: Simplify (- (/ (- (* 12 (* (pow b 4) (pow a 6))) (+ (* 36 (pow b 10)) (* 6 (pow b 12)))) (pow b 8)) (+ (* (/ (+ (* 4 (* (pow b 4) (pow a 6))) (+ (* 4 (pow b 10)) (pow b 12))) (pow b 8)) (/ (- (* 6 (pow b 8))) (pow b 8))))) into (- (* 36 (/ (pow a 6) (pow b 4))) (* 12 (sqr b))) * [misc]taylor: Taking taylor expansion of (- (* 36 (/ (pow a 6) (pow b 4))) (* 12 (sqr b))) in b * [misc]taylor: Taking taylor expansion of (* 36 (/ (pow a 6) (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [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]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 (/ (+ (* 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 (+ (* 36 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6)))))) into 0 * [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 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 4 (pow a 6)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (+ (* 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 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 0) (+ (* 0 (- (* 3 (sqr b)))) (* 1 (sqr b)))) into (sqr b) * [misc]backup-simplify: Simplify (- (sqr b)) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ (* 9 (pow b 4)) (- (sqr b))) into (- (* 9 (pow b 4)) (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (pow b 4)) (sqr b))) into (- (* 9 (pow b 4)) (sqr b)) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow b 4)) 0) (+ (* 0 0) (* 0 (- (pow b 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 8) (- (* 9 (pow b 4)) (sqr b))) (+ (* 0 (- (* 6 (pow b 4)))) (* 0 (pow b 4)))) into (- (* 9 (pow b 12)) (pow b 10)) * [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 1) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 1) (* 0 (* 2 (log a))))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 3 2) 2)) (* (/ (pow (- 3/2) 1) 1)))) into (* 3 (pow a 6)) * [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 (/ (* (pow (* 1 (- (* 3 (sqr b)))) 2)) (pow (sqr b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqr b) 1)))) 2) into -9/2 * [misc]backup-simplify: Simplify (+ (* 3 -9/2) (+ (* 0 -3) (* 0 (log (sqr b))))) into (- 27/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqr b)))) (+ (* (/ (pow (- 9) 2) 2)) (* (/ (pow (- 27/2) 1) 1)))) into (* 27 (pow b 6)) * [misc]backup-simplify: Simplify (+ (* 3 (pow a 6)) (* 27 (pow b 6))) into (+ (* 3 (pow a 6)) (* 27 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* 4 (+ (* 3 (pow a 6)) (* 27 (pow b 6)))) (+ (* 0 (- (* 3 (pow a 6)) (* 9 (pow b 6)))) (* 0 (+ (pow a 6) (pow b 6))))) into (+ (* 12 (pow a 6)) (* 108 (pow b 6))) * [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 (- 0) 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 (+ (* (pow b 4) (+ (* 12 (pow a 6)) (* 108 (pow b 6)))) (+ (* 0 (- (* 12 (pow a 6)) (* 36 (pow b 6)))) (* (- (* 2 (sqr b))) (* 4 (+ (pow a 6) (pow b 6)))))) into (- (+ (* 12 (* (pow b 4) (pow a 6))) (* 108 (pow b 10))) (+ (* 8 (pow b 8)) (* 8 (* (sqr b) (pow a 6))))) * [misc]backup-simplify: Simplify (+ (- (* 9 (pow b 12)) (pow b 10)) (- (+ (* 12 (* (pow b 4) (pow a 6))) (* 108 (pow b 10))) (+ (* 8 (pow b 8)) (* 8 (* (sqr b) (pow a 6)))))) into (- (+ (* 12 (* (pow b 4) (pow a 6))) (+ (* 107 (pow b 10)) (* 9 (pow b 12)))) (+ (* 8 (* (sqr b) (pow a 6))) (* 8 (pow b 8)))) * [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 (+ (* 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 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 0) (+ (* 0 (- (* 3 (sqr b)))) (* 1 (sqr b)))) into (sqr b) * [misc]backup-simplify: Simplify (- (sqr b)) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ (* 9 (pow b 4)) (- (sqr b))) into (- (* 9 (pow b 4)) (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (pow b 4)) (sqr b))) into (- (* 9 (pow b 4)) (sqr b)) * [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 (- 0) 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 (+ (* (pow b 4) (- (* 9 (pow b 4)) (sqr b))) (+ (* 0 (- (* 6 (pow b 4)))) (* (- (* 2 (sqr b))) (pow b 4)))) into (- (* 9 (pow b 8)) (* 3 (pow b 6))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 12 (* (pow b 4) (pow a 6))) (+ (* 107 (pow b 10)) (* 9 (pow b 12)))) (+ (* 8 (* (sqr b) (pow a 6))) (* 8 (pow b 8)))) (pow b 8)) (+ (* (/ (+ (* 4 (* (pow b 4) (pow a 6))) (+ (* 4 (pow b 10)) (pow b 12))) (pow b 8)) (/ (- (* 9 (pow b 8)) (* 3 (pow b 6))) (pow b 8))) (* (- (* 36 (/ (pow a 6) (pow b 4))) (* 12 (sqr b))) (/ (- (* 6 (pow b 8))) (pow b 8))))) into (+ 4 (+ (* 4 (/ (pow a 6) (pow b 6))) (+ (* 192 (/ (pow a 6) (pow b 4))) (* 2 (sqr b))))) * [misc]taylor: Taking taylor expansion of (+ 4 (+ (* 4 (/ (pow a 6) (pow b 6))) (+ (* 192 (/ (pow a 6) (pow b 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 (+ (* 4 (/ (pow a 6) (pow b 6))) (+ (* 192 (/ (pow a 6) (pow b 4))) (* 2 (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow a 6) (pow b 6))) 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 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 (pow b 6) in b * [misc]backup-simplify: Simplify (/ (pow a 6) 1) into (pow a 6) * [misc]taylor: Taking taylor expansion of (+ (* 192 (/ (pow a 6) (pow b 4))) (* 2 (sqr b))) in b * [misc]taylor: Taking taylor expansion of (* 192 (/ (pow a 6) (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 192 in b * [misc]backup-simplify: Simplify 192 into 192 * [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]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 (/ (+ (* 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 (/ (+ (* 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 (+ (* 6 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 (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (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 (* (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 (* (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 (- (/ 0 1) (+ (* (pow a 6) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (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 6) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6)))))))) into 0 * [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 (+ (* 192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6)))))) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [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 (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (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 6) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 36 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6))))))) into 0 * [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 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6)))))))) into 0 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (- (/ 4 1) (+ (* (* 4 (pow a 6)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 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 (+ (* 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 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 0) (+ (* 0 0) (+ (* 1 (- (* 3 (sqr b)))) (* 1 (sqr b))))) into (- (* 2 (sqr b))) * [misc]backup-simplify: Simplify (- (- (* 2 (sqr b)))) into (* 2 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr b))) into (* 2 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr b))) into (* 2 (sqr b)) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow b 4)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (pow b 4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 8) (* 2 (sqr b))) (+ (* 0 (- (* 9 (pow b 4)) (sqr b))) (+ (* 0 (- (* 6 (pow b 4)))) (* 0 (pow b 4))))) into (* 2 (pow b 10)) * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (+ (* 3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (* 2 (log a)))))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 3 3) 6)) (* (/ (pow 3 1) 1) (/ (pow (- 3/2) 1) 1)) (* (/ (pow 1 1) 1)))) into (pow a 6) * [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 (/ (+ (* 2 (/ (* (pow (* 1 (- (* 3 (sqr b)))) 3)) (pow (sqr b) 3))) (* -3 (/ (* (pow (* 1 (- (* 3 (sqr b)))) 1) (pow (* 2 0) 1)) (pow (sqr b) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqr b) 1)))) 6) into -9 * [misc]backup-simplify: Simplify (+ (* 3 -9) (+ (* 0 -9/2) (+ (* 0 -3) (* 0 (log (sqr b)))))) into (- 27) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqr b)))) (+ (* (/ (pow (- 9) 3) 6)) (* (/ (pow (- 9) 1) 1) (/ (pow (- 27/2) 1) 1)) (* (/ (pow (- 27) 1) 1)))) into (* -27 (pow b 6)) * [misc]backup-simplify: Simplify (+ (pow a 6) (* -27 (pow b 6))) into (- (pow a 6) (* 27 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* 4 (- (pow a 6) (* 27 (pow b 6)))) (+ (* 0 (+ (* 3 (pow a 6)) (* 27 (pow b 6)))) (+ (* 0 (- (* 3 (pow a 6)) (* 9 (pow b 6)))) (* 0 (+ (pow a 6) (pow b 6)))))) into (- (* 4 (pow a 6)) (* 108 (pow b 6))) * [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) 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 (+ (* (pow b 4) (- (* 4 (pow a 6)) (* 108 (pow b 6)))) (+ (* 0 (+ (* 12 (pow a 6)) (* 108 (pow b 6)))) (+ (* (- (* 2 (sqr b))) (- (* 12 (pow a 6)) (* 36 (pow b 6)))) (* 0 (* 4 (+ (pow a 6) (pow b 6))))))) into (- (+ (* 72 (pow b 8)) (* 4 (* (pow b 4) (pow a 6)))) (+ (* 108 (pow b 10)) (* 24 (* (sqr b) (pow a 6))))) * [misc]backup-simplify: Simplify (+ (* 2 (pow b 10)) (- (+ (* 72 (pow b 8)) (* 4 (* (pow b 4) (pow a 6)))) (+ (* 108 (pow b 10)) (* 24 (* (sqr b) (pow a 6)))))) into (- (+ (* 72 (pow b 8)) (* 4 (* (pow b 4) (pow a 6)))) (+ (* 106 (pow b 10)) (* 24 (* (sqr b) (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 (+ (* 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 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 0) (+ (* 0 0) (+ (* 1 (- (* 3 (sqr b)))) (* 1 (sqr b))))) into (- (* 2 (sqr b))) * [misc]backup-simplify: Simplify (- (- (* 2 (sqr b)))) into (* 2 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr b))) into (* 2 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr b))) into (* 2 (sqr b)) * [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) 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 (+ (* (pow b 4) (* 2 (sqr b))) (+ (* 0 (- (* 9 (pow b 4)) (sqr b))) (+ (* (- (* 2 (sqr b))) (- (* 6 (pow b 4)))) (* 0 (pow b 4))))) into (* 14 (pow b 6)) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 72 (pow b 8)) (* 4 (* (pow b 4) (pow a 6)))) (+ (* 106 (pow b 10)) (* 24 (* (sqr b) (pow a 6))))) (pow b 8)) (+ (* (/ (+ (* 4 (* (pow b 4) (pow a 6))) (+ (* 4 (pow b 10)) (pow b 12))) (pow b 8)) (/ (* 14 (pow b 6)) (pow b 8))) (* (- (* 36 (/ (pow a 6) (pow b 4))) (* 12 (sqr b))) (/ (- (* 9 (pow b 8)) (* 3 (pow b 6))) (pow b 8))) (* (+ 4 (+ (* 4 (/ (pow a 6) (pow b 6))) (+ (* 192 (/ (pow a 6) (pow b 4))) (* 2 (sqr b))))) (/ (- (* 6 (pow b 8))) (pow b 8))))) into (+ 4 (+ (* 832 (/ (pow a 6) (pow b 4))) (* 52 (/ (pow a 6) (pow b 6))))) * [misc]taylor: Taking taylor expansion of (+ 4 (+ (* 832 (/ (pow a 6) (pow b 4))) (* 52 (/ (pow a 6) (pow b 6))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* 832 (/ (pow a 6) (pow b 4))) (* 52 (/ (pow a 6) (pow b 6)))) in b * [misc]taylor: Taking taylor expansion of (* 832 (/ (pow a 6) (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 832 in b * [misc]backup-simplify: Simplify 832 into 832 * [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]taylor: Taking taylor expansion of (* 52 (/ (pow a 6) (pow b 6))) in b * [misc]taylor: Taking taylor expansion of 52 in b * [misc]backup-simplify: Simplify 52 into 52 * [misc]taylor: Taking taylor expansion of (/ (pow a 6) (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 (pow b 6) 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 (+ (* 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 (+ (* 832 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6)))))) into 0 * [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 (/ (+ (* 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 (+ (* 6 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 (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (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 (* (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 (* (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 (- (/ 0 1) (+ (* (pow a 6) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 6 (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 6) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 52 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 6)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) 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 (sqr (/ 1 a))) (sqr (sqr (/ 1 b))))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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 (sqr (/ 1 a))) (sqr (sqr (/ 1 b))))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (sqr (/ 1 a))) (sqr (sqr (/ 1 b))))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 a))) (sqr (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))) 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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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)) (+ 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))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [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 (/ 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 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3)))) 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 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3))) 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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 a)) (+ 1 (/ 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)) (+ 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]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 a)) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (* (/ 1 (sqr a)) (+ (/ 1 a) 1)) into (/ (+ (/ 1 a) 1) (sqr a)) * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 a) 1) (sqr a))) into (log (/ (+ (/ 1 a) 1) (sqr a))) * [misc]backup-simplify: Simplify (* 3 (log (/ (+ (/ 1 a) 1) (sqr a)))) into (* 3 (log (/ (+ (/ 1 a) 1) (sqr a)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ (+ (/ 1 a) 1) (sqr a))))) into (pow (/ (+ (/ 1 a) 1) (sqr a)) 3) * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 b)) (- 1 (* 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 (log (* (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]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 (log (- 1 (* 3 (/ 1 a)))) into (log (- 1 (* 3 (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (- 1 (* 3 (/ 1 a))))) into (- (log (- 1 (* 3 (/ 1 a)))) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 3 (- (log (- 1 (* 3 (/ 1 a)))) (* 2 (log b)))) into (* 3 (- (log (- 1 (* 3 (/ 1 a)))) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- 1 (* 3 (/ 1 a)))) (* 2 (log b))))) into (exp (* 3 (- (log (- 1 (* 3 (/ 1 a)))) (* 2 (log b))))) * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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 (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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)) (+ 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))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [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 (/ 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) 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)))) 0) into (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a)))) into (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a)))) into (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a))) * [misc]backup-simplify: Simplify (+ (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a))) 0) into (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 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 (* 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)))) 0) into (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a)))) into (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a)))) into (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a))) (- (+ 1 (* 9 (/ 1 (sqr a)))) (* 6 (/ 1 a)))) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (* (sqr (- (sqr (sqr (/ 1 a))) (sqr (sqr (/ 1 b))))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (sqr (/ 1 a))) (sqr (sqr (/ 1 b))))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 a))) (sqr (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))) 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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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)) (+ 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))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [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 (/ 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 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3)))) 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 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 a)) (+ 1 (/ 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)) (+ 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]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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log a)) 0) into (- (* 3 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (* 3 (log a)))) into (* -9 (log a)) * [misc]backup-simplify: Simplify (exp (* -9 (log a))) into (pow a -9) * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 b)) (- 1 (* 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 (log (* (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 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 (log (/ -3 (sqr b))) into (log (/ -3 (sqr b))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (/ -3 (sqr b)))) into (- (log (/ -3 (sqr b))) (log a)) * [misc]backup-simplify: Simplify (* 3 (- (log (/ -3 (sqr b))) (log a))) into (* 3 (- (log (/ -3 (sqr b))) (log a))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) into (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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 (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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)) (+ 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))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [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 (/ 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 (* 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]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 (* 1 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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (sqr (/ 1 a))) (sqr (sqr (/ 1 b))))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 a))) (sqr (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))) 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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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)) (+ 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))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [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 (/ 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 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3)))) 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 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 a)) (+ 1 (/ 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)) (+ 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]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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log a)) 0) into (- (* 3 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (* 3 (log a)))) into (* -9 (log a)) * [misc]backup-simplify: Simplify (exp (* -9 (log a))) into (pow a -9) * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 b)) (- 1 (* 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 (log (* (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 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 (log (/ -3 (sqr b))) into (log (/ -3 (sqr b))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (/ -3 (sqr b)))) into (- (log (/ -3 (sqr b))) (log a)) * [misc]backup-simplify: Simplify (* 3 (- (log (/ -3 (sqr b))) (log a))) into (* 3 (- (log (/ -3 (sqr b))) (log a))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) into (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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 (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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)) (+ 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))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [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 (/ 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 (* 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]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 (* 1 1) 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) 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 (- (+ (* 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 2) (* 0 1)) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [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 (- (+ (* 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 2) (* 0 1)) into 2 * [misc]backup-simplify: Simplify (- (/ 2 1) (+ (* 1 (/ 2 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 (+ 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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [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 (* 1 (/ -3 (sqr b))) 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 (* 3 (/ 1 (sqr b)))) into (+ 1 (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* 0 1))) into (+ 1 (* 3 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (+ 1 (* 3 (/ 1 (sqr b)))) 0) into (+ 1 (* 3 (/ 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 0) (+ (* 1 1) (* 0 1))) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 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 (* 1 (/ -3 (sqr b))) 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 (* 3 (/ 1 (sqr b)))) into (+ 1 (* 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 b) (/ 1 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 (+ (* 1 (- (/ 1 (sqr b)))) (+ (* 0 0) (* (- (/ 1 (sqr b))) 1))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (* 1 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* (- (* 2 (/ 1 (sqr b)))) 1))) into (+ 1 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (- (/ (+ 1 (* 3 (/ 1 (sqr b)))) 1) (+ (* 1 (/ (+ 1 (/ 1 (sqr b))) 1)) (* 0 (/ 2 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 (+ 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 (- (+ (* 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 (/ 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 (sqr b))) (* 1 (/ -3 (sqr b)))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (sqr b))))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (sqr b)))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (sqr b)))) into (* 2 (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (sqr b)))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* 0 1)))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (sqr b))) 0) into (* 2 (/ 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 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 (/ 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 (sqr b))) (* 1 (/ -3 (sqr b)))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (sqr b))))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (sqr b)))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (sqr b)))) into (* 2 (/ 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 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 (+ 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 (* 2 (/ 1 (sqr b)))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* (- (* 2 (/ 1 (sqr b)))) 2) (* 0 1)))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 (sqr b))) 1) (+ (* 1 (/ (- (* 2 (/ 1 (sqr b)))) 1)) (* 0 (/ (+ 1 (/ 1 (sqr b))) 1)) (* (* 2 (/ 1 (sqr b))) (/ 2 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 (+ 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 (- (+ (* 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 (- (+ (* 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 (sqr b))) (* 0 (/ -3 (sqr b))))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (/ 9 (pow b 4)) (- (/ 1 (sqr b)))) into (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) into (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [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 (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 (+ (* 1 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* (- (/ 1 (pow b 4))) 1))))) into (- (* 2 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (* 2 (/ 1 (sqr b)))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* (- (* 2 (/ 1 (pow b 4)))) 1))))) into (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) 0) into (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [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 (- (+ (* 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 (- (+ (* 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 (sqr b))) (* 0 (/ -3 (sqr b))))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (/ 9 (pow b 4)) (- (/ 1 (sqr b)))) into (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) into (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [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) 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 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (* 2 (/ 1 (sqr b)))) (+ (* (- (* 2 (/ 1 (sqr b)))) (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* (/ 1 (pow b 4)) 1))))) into (- (* 4 (/ 1 (pow b 4))) (* 3 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (- (/ (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) 1) (+ (* 1 (/ (- (* 4 (/ 1 (pow b 4))) (* 3 (/ 1 (sqr b)))) 1)) (* 0 (/ (- (* 2 (/ 1 (sqr b)))) 1)) (* (* 2 (/ 1 (sqr b))) (/ (+ 1 (/ 1 (sqr b))) 1)) (* 0 (/ 2 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 (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) * [misc]approximate: Taking taylor expansion of (/ (+ (* (sqr (- (sqr (sqr (/ 1 (- a)))) (sqr (sqr (/ 1 (- b)))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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 (sqr (/ 1 (- a)))) (sqr (sqr (/ 1 (- b)))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (sqr (/ 1 (- a)))) (sqr (sqr (/ 1 (- b)))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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)))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 (- a)))) (sqr (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)))) 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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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))) (+ 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)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [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 (/ 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 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3)))) 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 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3))) 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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 (- a))) (+ 1 (/ 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))) (+ 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]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 (log (/ (- 1 (/ 1 a)) (sqr a))) into (log (/ (- 1 (/ 1 a)) (sqr a))) * [misc]backup-simplify: Simplify (* 3 (log (/ (- 1 (/ 1 a)) (sqr a)))) into (* 3 (log (/ (- 1 (/ 1 a)) (sqr a)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ (- 1 (/ 1 a)) (sqr a))))) into (pow (/ (- 1 (/ 1 a)) (sqr a)) 3) * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 (- b))) (- 1 (* 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 (log (* (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]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 (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* 1 (+ (* 3 (/ 1 a)) 1)) into (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (log (+ (* 3 (/ 1 a)) 1)) into (log (+ (* 3 (/ 1 a)) 1)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (+ (* 3 (/ 1 a)) 1))) into (- (log (+ (* 3 (/ 1 a)) 1)) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 3 (- (log (+ (* 3 (/ 1 a)) 1)) (* 2 (log b)))) into (* 3 (- (log (+ (* 3 (/ 1 a)) 1)) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (+ (* 3 (/ 1 a)) 1)) (* 2 (log b))))) into (exp (* 3 (- (log (+ (* 3 (/ 1 a)) 1)) (* 2 (log b))))) * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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 (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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))) (+ 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)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [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 (/ 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) 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 (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* 1 (+ (* 3 (/ 1 a)) 1)) into (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* (+ (* 3 (/ 1 a)) 1) (+ (* 3 (/ 1 a)) 1)) into (sqr (+ (* 3 (/ 1 a)) 1)) * [misc]backup-simplify: Simplify (+ (sqr (+ (* 3 (/ 1 a)) 1)) 0) 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 (* 1 (+ (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a)))))) into (+ (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a))))) * [misc]backup-simplify: Simplify (+ (+ (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a))))) 0) into (+ (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a))))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 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 (* 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 (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* 1 (+ (* 3 (/ 1 a)) 1)) into (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* (+ (* 3 (/ 1 a)) 1) (+ (* 3 (/ 1 a)) 1)) into (sqr (+ (* 3 (/ 1 a)) 1)) * [misc]backup-simplify: Simplify (+ (sqr (+ (* 3 (/ 1 a)) 1)) 0) 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 (* 1 (+ (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a)))))) into (+ (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a))))) * [misc]backup-simplify: Simplify (/ (+ (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a))))) (+ (* 6 (/ 1 a)) (+ 1 (* 9 (/ 1 (sqr a)))))) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (* (sqr (- (sqr (sqr (/ 1 (- a)))) (sqr (sqr (/ 1 (- b)))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (sqr (/ 1 (- a)))) (sqr (sqr (/ 1 (- b)))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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)))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 (- a)))) (sqr (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)))) 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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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))) (+ 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)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [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 (/ 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 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3)))) 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 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- 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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 (- a))) (+ 1 (/ 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))) (+ 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]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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 3) (log a)) (log -1)) into (- (log -1) (* 3 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (* 3 (log a)))) into (* 3 (- (log -1) (* 3 (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (* 3 (log a))))) into (exp (* 3 (- (log -1) (* 3 (log a))))) * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 (- b))) (- 1 (* 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 (log (* (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 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 (log (/ 3 (sqr b))) into (log (/ 3 (sqr b))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (/ 3 (sqr b)))) into (- (log (/ 3 (sqr b))) (log a)) * [misc]backup-simplify: Simplify (* 3 (- (log (/ 3 (sqr b))) (log a))) into (* 3 (- (log (/ 3 (sqr b))) (log a))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) into (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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 (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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))) (+ 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)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [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 (/ 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 (* 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]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 (* 1 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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (sqr (/ 1 (- a)))) (sqr (sqr (/ 1 (- b)))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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)))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 (- a)))) (sqr (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)))) 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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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))) (+ 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)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [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 (/ 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 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3)))) 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 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- 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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 (- a))) (+ 1 (/ 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))) (+ 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]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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 3) (log a)) (log -1)) into (- (log -1) (* 3 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (* 3 (log a)))) into (* 3 (- (log -1) (* 3 (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (* 3 (log a))))) into (exp (* 3 (- (log -1) (* 3 (log a))))) * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 (- b))) (- 1 (* 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 (log (* (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 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 (log (/ 3 (sqr b))) into (log (/ 3 (sqr b))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (/ 3 (sqr b)))) into (- (log (/ 3 (sqr b))) (log a)) * [misc]backup-simplify: Simplify (* 3 (- (log (/ 3 (sqr b))) (log a))) into (* 3 (- (log (/ 3 (sqr b))) (log a))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) into (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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 (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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))) (+ 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)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [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 (/ 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 (* 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]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 (* 1 1) 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) 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 (- 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 -2) (* 0 1)) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (- 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 -2) (* 0 1)) into -2 * [misc]backup-simplify: Simplify (- (/ -2 1) (+ (* 1 (/ -2 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 (+ 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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [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 (* -1 (/ 3 (sqr b))) 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 (* 3 (/ 1 (sqr b)))) into (+ 1 (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* 0 1))) into (+ 1 (* 3 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (+ 1 (* 3 (/ 1 (sqr b)))) 0) into (+ 1 (* 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 (+ 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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [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 (* -1 (/ 3 (sqr b))) 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 (* 3 (/ 1 (sqr b)))) into (+ 1 (* 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 b) (/ -1 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 (+ (* 1 (- (/ 1 (sqr b)))) (+ (* 0 0) (* (- (/ 1 (sqr b))) 1))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (* 1 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* (- (* 2 (/ 1 (sqr b)))) 1))) into (+ 1 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (- (/ (+ 1 (* 3 (/ 1 (sqr b)))) 1) (+ (* 1 (/ (+ 1 (/ 1 (sqr b))) 1)) (* 0 (/ -2 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 (+ 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) 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) 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 (sqr b))) (* 1 (/ 3 (sqr b)))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (sqr b)))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (sqr b))))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (sqr b))))) into (- (* 2 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2 (/ 1 (sqr b))))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* 0 1)))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (- (* 2 (/ 1 (sqr b)))) 0) into (- (* 2 (/ 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 (+ (* -1 0) (+ (* 1 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) 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 (sqr b))) (* 1 (/ 3 (sqr b)))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (sqr b)))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (sqr b))))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (sqr b))))) into (- (* 2 (/ 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 (- 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 (+ 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 (- (* 2 (/ 1 (sqr b))))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* (- (* 2 (/ 1 (sqr b)))) -2) (* 0 1)))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 (sqr b)))) 1) (+ (* 1 (/ (* 2 (/ 1 (sqr b))) 1)) (* 0 (/ (+ 1 (/ 1 (sqr b))) 1)) (* (* 2 (/ 1 (sqr b))) (/ -2 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 (+ 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 (- 0) into 0 * [misc]backup-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 (- 0) into 0 * [misc]backup-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 (sqr b))) (* 0 (/ 3 (sqr b))))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (/ 9 (pow b 4)) (- (/ 1 (sqr b)))) into (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) into (- (* 9 (/ 1 (pow b 4))) (/ 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 (- 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 (- (/ 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 (+ (* 1 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* (- (/ 1 (pow b 4))) 1))))) into (- (* 2 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (- (* 2 (/ 1 (sqr b))))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* (- (* 2 (/ 1 (pow b 4)))) 1))))) into (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) 0) into (- (* 7 (/ 1 (pow b 4))) (/ 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 (- 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 (- 0) into 0 * [misc]backup-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 (- 0) into 0 * [misc]backup-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 (sqr b))) (* 0 (/ 3 (sqr b))))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (/ 9 (pow b 4)) (- (/ 1 (sqr b)))) into (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) into (- (* 9 (/ 1 (pow b 4))) (/ 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 (- 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) 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 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (- (* 2 (/ 1 (sqr b))))) (+ (* (- (* 2 (/ 1 (sqr b)))) (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* (/ 1 (pow b 4)) 1))))) into (- (* 4 (/ 1 (pow b 4))) (* 3 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (- (/ (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) 1) (+ (* 1 (/ (- (* 4 (/ 1 (pow b 4))) (* 3 (/ 1 (sqr b)))) 1)) (* 0 (/ (* 2 (/ 1 (sqr b))) 1)) (* (* 2 (/ 1 (sqr b))) (/ (+ 1 (/ 1 (sqr b))) 1)) (* 0 (/ -2 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 (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ (* (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))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (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))))) in b * [misc]taylor: Taking taylor expansion of (* (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))))))) in b * [misc]taylor: Taking taylor expansion of (sqr (- (sqr (sqr a)) (sqr (sqr b)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (sqr a)) (sqr (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)) 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 (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in b * [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 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 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) 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 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) 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 (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (* (sqr a) (+ 1 a)) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr a) (+ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr a) (+ 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 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]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 (* (+ 1 a) (sqr a)) * [misc]backup-simplify: Simplify (log (* (+ 1 a) (sqr a))) into (log (* (+ 1 a) (sqr a))) * [misc]backup-simplify: Simplify (* 3 (log (* (+ 1 a) (sqr a)))) into (* 3 (log (* (+ 1 a) (sqr a)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (+ 1 a) (sqr a))))) into (pow (* (+ 1 a) (sqr a)) 3) * [misc]taylor: Taking taylor expansion of (pow (* (sqr b) (- 1 (* 3 a))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr b) (- 1 (* 3 a)))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr b) (- 1 (* 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 (log (* (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]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 (+ (* 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 (+ (* 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 (log (- 1 (* 3 a))) into (log (- 1 (* 3 a))) * [misc]backup-simplify: Simplify (+ (* (- -2) (log b)) (log (- 1 (* 3 a)))) into (+ (* 2 (log b)) (log (- 1 (* 3 a)))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a))))) into (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a))))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a)))))) into (exp (* 3 (+ (* 2 (log b)) (log (- 1 (* 3 a)))))) * [misc]taylor: Taking taylor expansion of (+ (* (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))))) in a * [misc]taylor: Taking taylor expansion of (* (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))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (sqr (sqr a)) (sqr (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr a)) (sqr (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)) 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 (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [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 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 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) 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 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 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 (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (sqr a) (+ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr a) (+ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr a) (+ 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 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]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 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) 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 (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) (- 1 (* 3 a))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr b) (- 1 (* 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 (log (* (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 (* 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 (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 (- (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))))) in a * [misc]taylor: Taking taylor expansion of (* (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))))))) in a * [misc]taylor: Taking taylor expansion of (sqr (- (sqr (sqr a)) (sqr (sqr b)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr a)) (sqr (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)) 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 (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) in a * [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 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 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) 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 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 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 (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (sqr a) (+ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr a) (+ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr a) (+ 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 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]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 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) 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 (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) (- 1 (* 3 a))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr b) (- 1 (* 3 a)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr b) (- 1 (* 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 (log (* (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 (* 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 (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]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 (- (pow b 4)) 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 (* 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 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 8) (pow b 4)) into (pow b 12) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b 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 (* (- (sqr b)) (- (sqr b))) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow a 6) (pow (sqr b) 3)) into (+ (pow a 6) (pow b 6)) * [misc]backup-simplify: Simplify (* 4 (+ (pow a 6) (pow b 6))) into (* 4 (+ (pow a 6) (pow b 6))) * [misc]backup-simplify: Simplify (* (pow b 4) (* 4 (+ (pow a 6) (pow b 6)))) into (* 4 (* (+ (pow a 6) (pow b 6)) (pow b 4))) * [misc]backup-simplify: Simplify (+ (pow b 12) (* 4 (* (+ (pow a 6) (pow b 6)) (pow b 4)))) into (+ (* 4 (* (pow b 4) (pow a 6))) (+ (* 4 (pow b 10)) (pow b 12))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (* (pow b 4) (pow a 6))) (+ (* 4 (pow b 10)) (pow b 12))) in b * [misc]taylor: Taking taylor expansion of (* 4 (* (pow b 4) (pow a 6))) 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 4) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (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 (+ (* 4 (pow b 10)) (pow b 12)) in b * [misc]taylor: Taking taylor expansion of (* 4 (pow b 10)) 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 10) in b * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [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 (+ (* 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 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 (- (* 3 (sqr b)))) (* 0 (sqr b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 6 (pow b 4))) 0) into (- (* 6 (pow b 4))) * [misc]backup-simplify: Simplify (+ 0 (- (* 6 (pow b 4)))) into (- (* 6 (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 (- 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) (- (* 6 (pow b 4)))) (* 0 (pow b 4))) into (- (* 6 (pow b 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 (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 (* 2 (log a)))) into 3 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 3 1) 1)))) into (* 3 (pow a 6)) * [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 (/ (+ (* 1 (/ (* (pow (* 1 (- (* 3 (sqr b)))) 1)) (pow (sqr b) 1)))) 1) into -3 * [misc]backup-simplify: Simplify (+ (* 3 -3) (* 0 (log (sqr b)))) into (- 9) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqr b)))) (+ (* (/ (pow (- 9) 1) 1)))) into (* -9 (pow b 6)) * [misc]backup-simplify: Simplify (+ (* 3 (pow a 6)) (* -9 (pow b 6))) into (- (* 3 (pow a 6)) (* 9 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 3 (pow a 6)) (* 9 (pow b 6)))) (* 0 (+ (pow a 6) (pow b 6)))) into (- (* 12 (pow a 6)) (* 36 (pow b 6))) * [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) 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 (+ (* (pow b 4) (- (* 12 (pow a 6)) (* 36 (pow b 6)))) (* 0 (* 4 (+ (pow a 6) (pow b 6))))) into (- (* 12 (* (pow b 4) (pow a 6))) (* 36 (pow b 10))) * [misc]backup-simplify: Simplify (+ (- (* 6 (pow b 12))) (- (* 12 (* (pow b 4) (pow a 6))) (* 36 (pow b 10)))) into (- (* 12 (* (pow b 4) (pow a 6))) (+ (* 36 (pow b 10)) (* 6 (pow b 12)))) * [misc]taylor: Taking taylor expansion of (- (* 12 (* (pow b 4) (pow a 6))) (+ (* 36 (pow b 10)) (* 6 (pow b 12)))) in b * [misc]taylor: Taking taylor expansion of (* 12 (* (pow b 4) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (* (pow b 4) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (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 (+ (* 36 (pow b 10)) (* 6 (pow b 12))) in b * [misc]taylor: Taking taylor expansion of (* 36 (pow b 10)) in b * [misc]taylor: Taking taylor expansion of 36 in b * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]taylor: Taking taylor expansion of (* 6 (pow b 12)) 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 12) in 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 (+ (* 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 (+ (* 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 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 0) (+ (* 0 (- (* 3 (sqr b)))) (* 1 (sqr b)))) into (sqr b) * [misc]backup-simplify: Simplify (- (sqr b)) into (- (sqr b)) * [misc]backup-simplify: Simplify (+ (* 9 (pow b 4)) (- (sqr b))) into (- (* 9 (pow b 4)) (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (pow b 4)) (sqr b))) into (- (* 9 (pow b 4)) (sqr b)) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow b 4)) 0) (+ (* 0 0) (* 0 (- (pow b 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 8) (- (* 9 (pow b 4)) (sqr b))) (+ (* 0 (- (* 6 (pow b 4)))) (* 0 (pow b 4)))) into (- (* 9 (pow b 12)) (pow b 10)) * [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 1) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 1) (* 0 (* 2 (log a))))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 3 2) 2)) (* (/ (pow (- 3/2) 1) 1)))) into (* 3 (pow a 6)) * [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 (/ (* (pow (* 1 (- (* 3 (sqr b)))) 2)) (pow (sqr b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqr b) 1)))) 2) into -9/2 * [misc]backup-simplify: Simplify (+ (* 3 -9/2) (+ (* 0 -3) (* 0 (log (sqr b))))) into (- 27/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqr b)))) (+ (* (/ (pow (- 9) 2) 2)) (* (/ (pow (- 27/2) 1) 1)))) into (* 27 (pow b 6)) * [misc]backup-simplify: Simplify (+ (* 3 (pow a 6)) (* 27 (pow b 6))) into (+ (* 3 (pow a 6)) (* 27 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* 4 (+ (* 3 (pow a 6)) (* 27 (pow b 6)))) (+ (* 0 (- (* 3 (pow a 6)) (* 9 (pow b 6)))) (* 0 (+ (pow a 6) (pow b 6))))) into (+ (* 12 (pow a 6)) (* 108 (pow b 6))) * [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 (- 0) 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 (+ (* (pow b 4) (+ (* 12 (pow a 6)) (* 108 (pow b 6)))) (+ (* 0 (- (* 12 (pow a 6)) (* 36 (pow b 6)))) (* (- (* 2 (sqr b))) (* 4 (+ (pow a 6) (pow b 6)))))) into (- (+ (* 12 (* (pow b 4) (pow a 6))) (* 108 (pow b 10))) (+ (* 8 (pow b 8)) (* 8 (* (sqr b) (pow a 6))))) * [misc]backup-simplify: Simplify (+ (- (* 9 (pow b 12)) (pow b 10)) (- (+ (* 12 (* (pow b 4) (pow a 6))) (* 108 (pow b 10))) (+ (* 8 (pow b 8)) (* 8 (* (sqr b) (pow a 6)))))) into (- (+ (* 12 (* (pow b 4) (pow a 6))) (+ (* 107 (pow b 10)) (* 9 (pow b 12)))) (+ (* 8 (* (sqr b) (pow a 6))) (* 8 (pow b 8)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 12 (* (pow b 4) (pow a 6))) (+ (* 107 (pow b 10)) (* 9 (pow b 12)))) (+ (* 8 (* (sqr b) (pow a 6))) (* 8 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (+ (* 12 (* (pow b 4) (pow a 6))) (+ (* 107 (pow b 10)) (* 9 (pow b 12)))) in b * [misc]taylor: Taking taylor expansion of (* 12 (* (pow b 4) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (* (pow b 4) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (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 (+ (* 107 (pow b 10)) (* 9 (pow b 12))) in b * [misc]taylor: Taking taylor expansion of (* 107 (pow b 10)) in b * [misc]taylor: Taking taylor expansion of 107 in b * [misc]backup-simplify: Simplify 107 into 107 * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]taylor: Taking taylor expansion of (* 9 (pow b 12)) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]taylor: Taking taylor expansion of (+ (* 8 (* (sqr b) (pow a 6))) (* 8 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of (* 8 (* (sqr b) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of 8 in b * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (* (sqr b) (pow a 6)) 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 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 (* 8 (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 (pow b 8) in b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 (pow a 6)) into 0 * [misc]backup-simplify: Simplify (* 8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 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 (+ (* 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 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 0) (+ (* 0 0) (+ (* 1 (- (* 3 (sqr b)))) (* 1 (sqr b))))) into (- (* 2 (sqr b))) * [misc]backup-simplify: Simplify (- (- (* 2 (sqr b)))) into (* 2 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr b))) into (* 2 (sqr b)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr b))) into (* 2 (sqr b)) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow b 4)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (pow b 4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 8) (* 2 (sqr b))) (+ (* 0 (- (* 9 (pow b 4)) (sqr b))) (+ (* 0 (- (* 6 (pow b 4)))) (* 0 (pow b 4))))) into (* 2 (pow b 10)) * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (+ (* 3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (* 2 (log a)))))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 3 3) 6)) (* (/ (pow 3 1) 1) (/ (pow (- 3/2) 1) 1)) (* (/ (pow 1 1) 1)))) into (pow a 6) * [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 (/ (+ (* 2 (/ (* (pow (* 1 (- (* 3 (sqr b)))) 3)) (pow (sqr b) 3))) (* -3 (/ (* (pow (* 1 (- (* 3 (sqr b)))) 1) (pow (* 2 0) 1)) (pow (sqr b) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqr b) 1)))) 6) into -9 * [misc]backup-simplify: Simplify (+ (* 3 -9) (+ (* 0 -9/2) (+ (* 0 -3) (* 0 (log (sqr b)))))) into (- 27) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqr b)))) (+ (* (/ (pow (- 9) 3) 6)) (* (/ (pow (- 9) 1) 1) (/ (pow (- 27/2) 1) 1)) (* (/ (pow (- 27) 1) 1)))) into (* -27 (pow b 6)) * [misc]backup-simplify: Simplify (+ (pow a 6) (* -27 (pow b 6))) into (- (pow a 6) (* 27 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* 4 (- (pow a 6) (* 27 (pow b 6)))) (+ (* 0 (+ (* 3 (pow a 6)) (* 27 (pow b 6)))) (+ (* 0 (- (* 3 (pow a 6)) (* 9 (pow b 6)))) (* 0 (+ (pow a 6) (pow b 6)))))) into (- (* 4 (pow a 6)) (* 108 (pow b 6))) * [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) 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 (+ (* (pow b 4) (- (* 4 (pow a 6)) (* 108 (pow b 6)))) (+ (* 0 (+ (* 12 (pow a 6)) (* 108 (pow b 6)))) (+ (* (- (* 2 (sqr b))) (- (* 12 (pow a 6)) (* 36 (pow b 6)))) (* 0 (* 4 (+ (pow a 6) (pow b 6))))))) into (- (+ (* 72 (pow b 8)) (* 4 (* (pow b 4) (pow a 6)))) (+ (* 108 (pow b 10)) (* 24 (* (sqr b) (pow a 6))))) * [misc]backup-simplify: Simplify (+ (* 2 (pow b 10)) (- (+ (* 72 (pow b 8)) (* 4 (* (pow b 4) (pow a 6)))) (+ (* 108 (pow b 10)) (* 24 (* (sqr b) (pow a 6)))))) into (- (+ (* 72 (pow b 8)) (* 4 (* (pow b 4) (pow a 6)))) (+ (* 106 (pow b 10)) (* 24 (* (sqr b) (pow a 6))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 72 (pow b 8)) (* 4 (* (pow b 4) (pow a 6)))) (+ (* 106 (pow b 10)) (* 24 (* (sqr b) (pow a 6))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 72 (pow b 8)) (* 4 (* (pow b 4) (pow a 6)))) in b * [misc]taylor: Taking taylor expansion of (* 72 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of 72 in b * [misc]backup-simplify: Simplify 72 into 72 * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of (* 4 (* (pow b 4) (pow a 6))) 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 4) (pow a 6)) in b * [misc]taylor: Taking taylor expansion of (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 (+ (* 106 (pow b 10)) (* 24 (* (sqr b) (pow a 6)))) in b * [misc]taylor: Taking taylor expansion of (* 106 (pow b 10)) in b * [misc]taylor: Taking taylor expansion of 106 in b * [misc]backup-simplify: Simplify 106 into 106 * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]taylor: Taking taylor expansion of (* 24 (* (sqr b) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of 24 in b * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (* (sqr b) (pow a 6)) 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 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 6)) into 0 * [misc]backup-simplify: Simplify (* 24 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (* (exp (* 6 (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 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 8 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) 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 1) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (+ (* 1 1) (+ (* 1 0) (* 0 0))))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 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 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* (- (* 3 (sqr b))) 0) (+ (* 0 0) (+ (* 0 (- (* 3 (sqr b)))) (* 0 (sqr b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 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 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1))))) 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 1) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 1 (- (* 3 (sqr b)))) (* 0 (sqr b)))))) 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 (+ 1 (* 3 (sqr b))) into (+ 1 (* 3 (sqr b))) * [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 1) (+ (* 0 0) (* 0 0))))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow b 4)) 1) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 1 (- (pow b 4))))))) into (- (* 2 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* (pow b 8) (+ 1 (* 3 (sqr b)))) (+ (* 0 (* 2 (sqr b))) (+ (* 0 (- (* 9 (pow b 4)) (sqr b))) (+ (* 0 (- (* 6 (pow b 4)))) (* (- (* 2 (pow b 4))) (pow b 4)))))) into (- (* 3 (pow b 10)) (pow b 8)) * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ (* (- -2) (log a)) 0) into (* 2 (log a)) * [misc]backup-simplify: Simplify (+ (* 3 -1/4) (+ (* 0 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (* 2 (log a))))))) into (- 3/4) * [misc]backup-simplify: Simplify (* (exp (* 6 (log a))) (+ (* (/ (pow 3 4) 24)) (* (/ (pow 3 2) 2) (/ (pow (- 3/2) 1) 1)) (* (/ (pow 3 1) 1) (/ (pow 1 1) 1)) (* (/ (pow (- 3/2) 2) 2)) (* (/ (pow (- 3/4) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 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 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -3) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (- (* 3 (sqr b)))) 4)) (pow (sqr b) 4))) (* 12 (/ (* (pow (* 1 (- (* 3 (sqr b)))) 2) (pow (* 2 0) 1)) (pow (sqr b) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqr b) 2))) (* -4 (/ (* (pow (* 1 (- (* 3 (sqr b)))) 1) 1 (pow (* 6 0) 1)) (pow (sqr b) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqr b) 1)))) 24) into -81/4 * [misc]backup-simplify: Simplify (+ (* 3 -81/4) (+ (* 0 -9) (+ (* 0 -9/2) (+ (* 0 -3) (* 0 (log (sqr b))))))) into (- 243/4) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (sqr b)))) (+ (* (/ (pow (- 9) 4) 24)) (* (/ (pow (- 9) 2) 2) (/ (pow (- 27/2) 1) 1)) (* (/ (pow (- 9) 1) 1) (/ (pow (- 27) 1) 1)) (* (/ (pow (- 27/2) 2) 2)) (* (/ (pow (- 243/4) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 (- (pow a 6) (* 27 (pow b 6)))) (+ (* 0 (+ (* 3 (pow a 6)) (* 27 (pow b 6)))) (+ (* 0 (- (* 3 (pow a 6)) (* 9 (pow b 6)))) (* 0 (+ (pow a 6) (pow b 6))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (sqr b)) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (- (sqr b))))))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow b 4) 0) (+ (* 0 (- (* 4 (pow a 6)) (* 108 (pow b 6)))) (+ (* (- (* 2 (sqr b))) (+ (* 12 (pow a 6)) (* 108 (pow b 6)))) (+ (* 0 (- (* 12 (pow a 6)) (* 36 (pow b 6)))) (* 1 (* 4 (+ (pow a 6) (pow b 6)))))))) into (- (+ (* 4 (pow a 6)) (* 4 (pow b 6))) (+ (* 216 (pow b 8)) (* 24 (* (sqr b) (pow a 6))))) * [misc]backup-simplify: Simplify (+ (- (* 3 (pow b 10)) (pow b 8)) (- (+ (* 4 (pow a 6)) (* 4 (pow b 6))) (+ (* 216 (pow b 8)) (* 24 (* (sqr b) (pow a 6)))))) into (- (+ (* 3 (pow b 10)) (+ (* 4 (pow a 6)) (* 4 (pow b 6)))) (+ (* 24 (* (sqr b) (pow a 6))) (* 217 (pow b 8)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 3 (pow b 10)) (+ (* 4 (pow a 6)) (* 4 (pow b 6)))) (+ (* 24 (* (sqr b) (pow a 6))) (* 217 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (+ (* 3 (pow b 10)) (+ (* 4 (pow a 6)) (* 4 (pow b 6)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (pow b 10)) 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 10) in b * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow a 6)) (* 4 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (* 4 (pow a 6)) 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) 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 (* 4 (pow b 6)) 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 6) in b * [misc]taylor: Taking taylor expansion of (+ (* 24 (* (sqr b) (pow a 6))) (* 217 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of (* 24 (* (sqr b) (pow a 6))) in b * [misc]taylor: Taking taylor expansion of 24 in b * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (* (sqr b) (pow a 6)) 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 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 (* 217 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of 217 in b * [misc]backup-simplify: Simplify 217 into 217 * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]backup-simplify: Simplify (* 4 (pow a 6)) into (* 4 (pow a 6)) * [misc]backup-simplify: Simplify (+ (* 4 (pow a 6)) 0) into (* 4 (pow a 6)) * [misc]backup-simplify: Simplify (+ 0 (* 4 (pow a 6))) into (* 4 (pow a 6)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 (pow a 6)) into 0 * [misc]backup-simplify: Simplify (* 24 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (pow a 6)) 0) into (* 4 (pow a 6)) * [misc]backup-simplify: Simplify (* 4 (pow a 6)) into (* 4 (pow a 6)) * [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 (* (exp (* 6 (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 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 24 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) 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 (+ (* 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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow a 6)))) into (pow a 6) * [misc]backup-simplify: Simplify (+ (* 8 (pow a 6)) (+ (* 0 0) (* 0 0))) into (* 8 (pow a 6)) * [misc]backup-simplify: Simplify (+ (* 8 (pow a 6)) 0) into (* 8 (pow a 6)) * [misc]backup-simplify: Simplify (- (* 8 (pow a 6))) into (- (* 8 (pow a 6))) * [misc]backup-simplify: Simplify (+ 0 (- (* 8 (pow a 6)))) into (- (* 8 (pow a 6))) * [misc]backup-simplify: Simplify (- (* 8 (pow a 6))) into (- (* 8 (pow a 6))) * [misc]backup-simplify: Simplify (* 1 (pow a 6)) into (pow a 6) * [misc]backup-simplify: Simplify (* 4 (pow a 6)) into (* 4 (pow a 6)) * [misc]backup-simplify: Simplify (+ (* 4 (pow a 6)) 0) into (* 4 (pow a 6)) * [misc]backup-simplify: Simplify (* 4 (pow a 6)) into (* 4 (pow a 6)) * [misc]backup-simplify: Simplify (+ (* (* 4 (pow a 6)) (pow (* b 1) 4)) (+ (* (- (* 8 (pow a 6))) (sqr (* b a))) (* (* 4 (pow a 6)) (pow (* 1 a) 4)))) into (- (+ (* 4 (pow a 10)) (* 4 (* (pow b 4) (pow a 6)))) (* 8 (* (sqr b) (pow a 8)))) * [misc]approximate: Taking taylor expansion of (+ (* (sqr (- (sqr (sqr (/ 1 a))) (sqr (sqr (/ 1 b))))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (sqr (sqr (/ 1 a))) (sqr (sqr (/ 1 b))))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (sqr (/ 1 a))) (sqr (sqr (/ 1 b))))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 a))) (sqr (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))) 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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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)) (+ 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))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in b * [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 (/ 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 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3)))) 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 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3))) 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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 a)) (+ 1 (/ 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)) (+ 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]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 a)) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (* (/ 1 (sqr a)) (+ (/ 1 a) 1)) into (/ (+ (/ 1 a) 1) (sqr a)) * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 a) 1) (sqr a))) into (log (/ (+ (/ 1 a) 1) (sqr a))) * [misc]backup-simplify: Simplify (* 3 (log (/ (+ (/ 1 a) 1) (sqr a)))) into (* 3 (log (/ (+ (/ 1 a) 1) (sqr a)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ (+ (/ 1 a) 1) (sqr a))))) into (pow (/ (+ (/ 1 a) 1) (sqr a)) 3) * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 b)) (- 1 (* 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 (log (* (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]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 (log (- 1 (* 3 (/ 1 a)))) into (log (- 1 (* 3 (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (- 1 (* 3 (/ 1 a))))) into (- (log (- 1 (* 3 (/ 1 a)))) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 3 (- (log (- 1 (* 3 (/ 1 a)))) (* 2 (log b)))) into (* 3 (- (log (- 1 (* 3 (/ 1 a)))) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- 1 (* 3 (/ 1 a)))) (* 2 (log b))))) into (exp (* 3 (- (log (- 1 (* 3 (/ 1 a)))) (* 2 (log b))))) * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (sqr (sqr (/ 1 a))) (sqr (sqr (/ 1 b))))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (sqr (/ 1 a))) (sqr (sqr (/ 1 b))))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 a))) (sqr (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))) 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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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)) (+ 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))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [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 (/ 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 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3)))) 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 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 a)) (+ 1 (/ 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)) (+ 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]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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log a)) 0) into (- (* 3 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (* 3 (log a)))) into (* -9 (log a)) * [misc]backup-simplify: Simplify (exp (* -9 (log a))) into (pow a -9) * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 b)) (- 1 (* 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 (log (* (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 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 (log (/ -3 (sqr b))) into (log (/ -3 (sqr b))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (/ -3 (sqr b)))) into (- (log (/ -3 (sqr b))) (log a)) * [misc]backup-simplify: Simplify (* 3 (- (log (/ -3 (sqr b))) (log a))) into (* 3 (- (log (/ -3 (sqr b))) (log a))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) into (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (sqr (sqr (/ 1 a))) (sqr (sqr (/ 1 b))))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))))) (* (sqr (- (sqr (/ 1 a)) (sqr (/ 1 b)))) (* 4 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (sqr (/ 1 a))) (sqr (sqr (/ 1 b))))) (+ (sqr (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 a))) (sqr (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))) 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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))) (- (sqr (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))) (* (* (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)) (+ 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))))) (* (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))))) in a * [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 (/ 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 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3)))) 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 (+ (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 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 (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 a)) (+ 1 (/ 1 a))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 a)) (+ 1 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 a)) (+ 1 (/ 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)) (+ 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]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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log a)) 0) into (- (* 3 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (* 3 (log a)))) into (* -9 (log a)) * [misc]backup-simplify: Simplify (exp (* -9 (log a))) into (pow a -9) * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a)))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 b)) (- 1 (* 3 (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 b)) (- 1 (* 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 (log (* (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 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 (log (/ -3 (sqr b))) into (log (/ -3 (sqr b))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (/ -3 (sqr b)))) into (- (log (/ -3 (sqr b))) (log a)) * [misc]backup-simplify: Simplify (* 3 (- (log (/ -3 (sqr b))) (log a))) into (* 3 (- (log (/ -3 (sqr b))) (log a))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) into (exp (* 3 (- (log (/ -3 (sqr b))) (log 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 (* 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 (* 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 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [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 2) (* 0 1)) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [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 (* 1 (/ -3 (sqr b))) 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 (* 3 (/ 1 (sqr b)))) into (+ 1 (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* 0 1))) into (+ 1 (* 3 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (+ 1 (* 3 (/ 1 (sqr b)))) 0) into (+ 1 (* 3 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 (sqr b)))) 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 (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 (- (+ (* 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 (- (+ (* 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 (/ 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 (sqr b))) (* 1 (/ -3 (sqr b)))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (sqr b))))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (sqr b)))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (sqr b)))) into (* 2 (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (sqr b)))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* 0 1)))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (sqr b))) 0) 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)) (* 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 (- (+ (* 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 (- (+ (* 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 (sqr b))) (* 0 (/ -3 (sqr b))))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (/ 9 (pow b 4)) (- (/ 1 (sqr b)))) into (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) into (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [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 (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 (+ (* 1 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* (- (/ 1 (pow b 4))) 1))))) into (- (* 2 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (* 2 (/ 1 (sqr b)))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* (- (* 2 (/ 1 (pow b 4)))) 1))))) into (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) 0) into (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [misc]taylor: Taking taylor expansion of (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of (* 7 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 7 in b * [misc]backup-simplify: Simplify 7 into 7 * [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 (/ 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 (- (+ (* 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 (- (+ (* 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 (sqr b))) (* 0 (/ -3 (sqr b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 6 (/ 1 (pow b 4)))) 0) 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 (- (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (* 2 (/ 1 (sqr b)))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* (- (* 2 (/ 1 (pow b 4)))) 2) (* 0 1)))))) into (- (* 10 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (- (* 10 (/ 1 (pow b 4)))) 0) into (- (* 10 (/ 1 (pow b 4)))) * [misc]taylor: Taking taylor expansion of (- (* 10 (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 10 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 10 in b * [misc]backup-simplify: Simplify 10 into 10 * [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 (/ 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 (- (+ (* 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 (sqr b))) (* 0 (/ -3 (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 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 4))) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (* 2 (/ 1 (sqr b)))) (+ (* (- (* 2 (/ 1 (pow b 4)))) (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* 0 1))))))) into (- (+ (* 6 (/ 1 (pow b 6))) (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (- (+ (* 6 (/ 1 (pow b 6))) (/ 1 (pow b 4)))) 0) into (- (+ (* 6 (/ 1 (pow b 6))) (/ 1 (pow b 4)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 6 (/ 1 (pow b 6))) (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ 1 (pow b 6))) (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (pow b 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 (/ 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]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)) (* 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 (- (+ (* 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 (- (+ (* 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 (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 (+ 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* (- (/ 1 (pow b 4))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* (- (* 2 (/ 1 (pow b 4)))) (* 2 (/ 1 (sqr b)))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* 0 1)))))))) into (- (* 4 (/ 1 (pow b 6)))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 6)))) 0) into (- (* 4 (/ 1 (pow b 6)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 6)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 6))) 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 (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 (- (+ (* 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 (- (+ (* 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 (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 (+ 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into (/ 1 (pow b 8)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* (- (* 2 (/ 1 (pow b 4)))) (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (* 2 (/ 1 (sqr b)))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* (/ 1 (pow b 8)) 1))))))))) into (- (* 2 (/ 1 (pow b 6))) (* 17 (/ 1 (pow b 8)))) * [misc]backup-simplify: Simplify (+ (- (* 2 (/ 1 (pow b 6))) (* 17 (/ 1 (pow b 8)))) 0) into (- (* 2 (/ 1 (pow b 6))) (* 17 (/ 1 (pow b 8)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow b 6))) (* 17 (/ 1 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 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)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 17 (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of 17 in b * [misc]backup-simplify: Simplify 17 into 17 * [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 (- (+ (* 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 (- (+ (* 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 (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 (+ 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (- (* 2 (/ 1 (pow b 4)))) (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (* 2 (/ 1 (sqr b)))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* (/ 1 (pow b 8)) 2) (* 0 1)))))))))) into (* 14 (/ 1 (pow b 8))) * [misc]backup-simplify: Simplify (+ (* 14 (/ 1 (pow b 8))) 0) into (* 14 (/ 1 (pow b 8))) * [misc]taylor: Taking taylor expansion of (* 14 (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of 14 in b * [misc]backup-simplify: Simplify 14 into 14 * [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 (- (+ (* 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 (- (+ (* 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 (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 (+ 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 4)))) (/ 1 (pow b 4))) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (* 2 (/ 1 (sqr b)))) (+ (* (/ 1 (pow b 8)) (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* 0 1))))))))))) into (- (* 3 (/ 1 (pow b 10))) (/ 1 (pow b 8))) * [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 (+ (pow a -9) (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) into (+ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (pow a -9)) * [misc]backup-simplify: Simplify (* 4 (+ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (pow a -9))) into (* 4 (+ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (pow a -9))) * [misc]backup-simplify: Simplify (* 1 (* 4 (+ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (pow a -9)))) into (* 4 (+ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (pow a -9))) * [misc]backup-simplify: Simplify (+ (- (* 3 (/ 1 (pow b 10))) (/ 1 (pow b 8))) (* 4 (+ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (pow a -9)))) into (- (+ (* 4 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) (+ (* 3 (/ 1 (pow b 10))) (* 4 (/ 1 (pow a 9))))) (/ 1 (pow b 8))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) (+ (* 3 (/ 1 (pow b 10))) (* 4 (/ 1 (pow a 9))))) (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of (+ (* 4 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) (+ (* 3 (/ 1 (pow b 10))) (* 4 (/ 1 (pow a 9))))) in b * [misc]taylor: Taking taylor expansion of (* 4 (exp (* 3 (- (log (/ -3 (sqr b))) (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 (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (- (log (/ -3 (sqr b))) (log 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 (/ -3 (sqr b))) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (/ -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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -3 1) into -3 * [misc]backup-simplify: Simplify (log -3) into (log -3) * [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 (+ (* (- 2) (log b)) (log -3)) into (- (log -3) (* 2 (log b))) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (- (log -3) (* 2 (log b))) (- (log a))) into (- (log -3) (+ (* 2 (log b)) (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log -3) (+ (* 2 (log b)) (log a)))) into (* 3 (- (log -3) (+ (* 2 (log b)) (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -3) (+ (* 2 (log b)) (log a))))) into (exp (* 3 (- (log -3) (+ (* 2 (log b)) (log a))))) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ 1 (pow b 10))) (* 4 (/ 1 (pow a 9)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 10))) 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 (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 (* 4 (/ 1 (pow a 9))) 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 (pow a 9)) in b * [misc]taylor: Taking taylor expansion of (pow a 9) in b * [misc]taylor: Taking taylor expansion of (exp (* 9 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 9 (log a)) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [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 (* 9 (log a)) into (* 9 (log a)) * [misc]backup-simplify: Simplify (exp (* 9 (log a))) into (pow a 9) * [misc]backup-simplify: Simplify (/ 1 (pow a 9)) into (/ 1 (pow a 9)) * [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)) (* 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 (- (+ (* 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 (+ (* 3 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 (+ 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)) (* 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 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -3)))))))))) 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 (+ 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 (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 (+ 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 4)))) 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* (/ 1 (pow b 8)) (* 2 (/ 1 (sqr b)))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* 0 1)))))))))))) into (* 2 (/ 1 (pow b 10))) * [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 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 3) (log a)) 0) into (- (* 3 (log a))) * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 (- (* 3 (log a))))) into 3 * [misc]backup-simplify: Simplify (* (exp (* -9 (log a))) (+ (* (/ (pow 3 1) 1)))) into (/ 3 (pow a 9)) * [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 (/ (* (pow (* 1 (/ 1 (sqr b))) 1)) (pow (/ -3 (sqr b)) 1)))) 1) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (/ -3 (sqr b)))) into (- (log (/ -3 (sqr b))) (log a)) * [misc]backup-simplify: Simplify (+ (* 3 -1/3) (* 0 (- (log (/ -3 (sqr b))) (log a)))) into (- 1) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (+ (* (/ (pow (- 1) 1) 1)))) into (* -1 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) * [misc]backup-simplify: Simplify (+ (/ 3 (pow a 9)) (* -1 (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))))) into (- (* 3 (/ 1 (pow a 9))) (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 3 (/ 1 (pow a 9))) (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))))) (* 0 (+ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (pow a -9)))) into (- (* 12 (/ 1 (pow a 9))) (* 4 (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))))) * [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 (- (* 12 (/ 1 (pow a 9))) (* 4 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))))) (* 0 (* 4 (+ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (pow a -9))))) into (- (* 12 (/ 1 (pow a 9))) (* 4 (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))))) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (pow b 10))) (- (* 12 (/ 1 (pow a 9))) (* 4 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))))) into (- (+ (* 2 (/ 1 (pow b 10))) (* 12 (/ 1 (pow a 9)))) (* 4 (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow b 10))) (* 12 (/ 1 (pow a 9)))) (* 4 (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (pow b 10))) (* 12 (/ 1 (pow a 9)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (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 (/ 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 (* 12 (/ 1 (pow a 9))) 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 (pow a 9)) in b * [misc]taylor: Taking taylor expansion of (pow a 9) in b * [misc]taylor: Taking taylor expansion of (exp (* 9 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 9 (log a)) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [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 (* 9 (log a)) into (* 9 (log a)) * [misc]backup-simplify: Simplify (exp (* 9 (log a))) into (pow a 9) * [misc]backup-simplify: Simplify (/ 1 (pow a 9)) into (/ 1 (pow a 9)) * [misc]taylor: Taking taylor expansion of (* 4 (exp (* 3 (- (log (/ -3 (sqr b))) (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 (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (- (log (/ -3 (sqr b))) (log 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 (/ -3 (sqr b))) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (/ -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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -3 1) into -3 * [misc]backup-simplify: Simplify (log -3) into (log -3) * [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 (+ (* (- 2) (log b)) (log -3)) into (- (log -3) (* 2 (log b))) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (- (log -3) (* 2 (log b))) (- (log a))) into (- (log -3) (+ (* 2 (log b)) (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log -3) (+ (* 2 (log b)) (log a)))) into (* 3 (- (log -3) (+ (* 2 (log b)) (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -3) (+ (* 2 (log b)) (log a))))) into (exp (* 3 (- (log -3) (+ (* 2 (log b)) (log a))))) * [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 (- (+ (* 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 (+ (* 3 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 (+ 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)) (* 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 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -3))))))))))) 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 (+ 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 (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 (+ 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 4)))) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 (- (* 6 (/ 1 (pow b 4))))) (+ (* (/ 1 (pow b 8)) (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (* 2 (/ 1 (sqr b)))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 2) (* 0 1))))))))))))) into (- (* 9 (/ 1 (pow b 12))) (/ 1 (pow b 10))) * [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 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 3) (log a)) 0) into (- (* 3 (log a))) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 1) (* 0 (- (* 3 (log a)))))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* -9 (log a))) (+ (* (/ (pow 3 2) 2)) (* (/ (pow (- 3/2) 1) 1)))) into (/ 3 (pow a 9)) * [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 (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (sqr b))) 2)) (pow (/ -3 (sqr b)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -3 (sqr b)) 1)))) 2) into -1/18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (/ -3 (sqr b)))) into (- (log (/ -3 (sqr b))) (log a)) * [misc]backup-simplify: Simplify (+ (* 3 -1/18) (+ (* 0 -1/3) (* 0 (- (log (/ -3 (sqr b))) (log a))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (+ (* (/ (pow (- 1) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* 1/3 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) * [misc]backup-simplify: Simplify (+ (/ 3 (pow a 9)) (* 1/3 (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))))) into (+ (* 1/3 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) (* 3 (/ 1 (pow a 9)))) * [misc]backup-simplify: Simplify (+ (* 4 (+ (* 1/3 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) (* 3 (/ 1 (pow a 9))))) (+ (* 0 (- (* 3 (/ 1 (pow a 9))) (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))))) (* 0 (+ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (pow a -9))))) into (+ (* 4/3 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) (* 12 (/ 1 (pow a 9)))) * [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 (- (/ 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 (+ (* 4/3 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) (* 12 (/ 1 (pow a 9))))) (+ (* 0 (- (* 12 (/ 1 (pow a 9))) (* 4 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))))) (* (- (* 2 (/ 1 (sqr b)))) (* 4 (+ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (pow a -9)))))) into (- (+ (* 4/3 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) (* 12 (/ 1 (pow a 9)))) (+ (* 8 (/ 1 (* (sqr b) (pow a 9)))) (* 8 (/ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (sqr b))))) * [misc]backup-simplify: Simplify (+ (- (* 9 (/ 1 (pow b 12))) (/ 1 (pow b 10))) (- (+ (* 4/3 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) (* 12 (/ 1 (pow a 9)))) (+ (* 8 (/ 1 (* (sqr b) (pow a 9)))) (* 8 (/ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (sqr b)))))) into (- (+ (* 4/3 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) (+ (* 9 (/ 1 (pow b 12))) (* 12 (/ 1 (pow a 9))))) (+ (* 8 (/ 1 (* (sqr b) (pow a 9)))) (+ (* 8 (/ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (sqr b))) (/ 1 (pow b 10))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4/3 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) (+ (* 9 (/ 1 (pow b 12))) (* 12 (/ 1 (pow a 9))))) (+ (* 8 (/ 1 (* (sqr b) (pow a 9)))) (+ (* 8 (/ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (sqr b))) (/ 1 (pow b 10))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 4/3 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) (+ (* 9 (/ 1 (pow b 12))) (* 12 (/ 1 (pow a 9))))) in b * [misc]taylor: Taking taylor expansion of (* 4/3 (exp (* 3 (- (log (/ -3 (sqr b))) (log a))))) in b * [misc]taylor: Taking taylor expansion of 4/3 in b * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (- (log (/ -3 (sqr b))) (log 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 (/ -3 (sqr b))) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (/ -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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -3 1) into -3 * [misc]backup-simplify: Simplify (log -3) into (log -3) * [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 (+ (* (- 2) (log b)) (log -3)) into (- (log -3) (* 2 (log b))) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (- (log -3) (* 2 (log b))) (- (log a))) into (- (log -3) (+ (* 2 (log b)) (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log -3) (+ (* 2 (log b)) (log a)))) into (* 3 (- (log -3) (+ (* 2 (log b)) (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -3) (+ (* 2 (log b)) (log a))))) into (exp (* 3 (- (log -3) (+ (* 2 (log b)) (log a))))) * [misc]taylor: Taking taylor expansion of (+ (* 9 (/ 1 (pow b 12))) (* 12 (/ 1 (pow a 9)))) in b * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (pow b 12))) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [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 (* 12 (/ 1 (pow a 9))) 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 (pow a 9)) in b * [misc]taylor: Taking taylor expansion of (pow a 9) in b * [misc]taylor: Taking taylor expansion of (exp (* 9 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 9 (log a)) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [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 (* 9 (log a)) into (* 9 (log a)) * [misc]backup-simplify: Simplify (exp (* 9 (log a))) into (pow a 9) * [misc]backup-simplify: Simplify (/ 1 (pow a 9)) into (/ 1 (pow a 9)) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ 1 (* (sqr b) (pow a 9)))) (+ (* 8 (/ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (sqr b))) (/ 1 (pow b 10)))) in b * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (* (sqr b) (pow a 9)))) 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) (pow a 9))) in b * [misc]taylor: Taking taylor expansion of (* (sqr b) (pow a 9)) 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 9) in b * [misc]taylor: Taking taylor expansion of (exp (* 9 (log a))) in b * [misc]taylor: Taking taylor expansion of (* 9 (log a)) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [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 (* 9 (log a)) into (* 9 (log a)) * [misc]backup-simplify: Simplify (exp (* 9 (log a))) into (pow a 9) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 (pow a 9)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 9 (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 9))) 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 (+ (* 9 0) (+ (* 0 0) (* 0 (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 9 (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 9)))) into (pow a 9) * [misc]backup-simplify: Simplify (/ 1 (pow a 9)) into (/ 1 (pow a 9)) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (sqr b))) (/ 1 (pow b 10))) in b * [misc]taylor: Taking taylor expansion of (* 8 (/ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (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 (/ (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) (sqr b)) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (- (log (/ -3 (sqr b))) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (- (log (/ -3 (sqr b))) (log 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 (/ -3 (sqr b))) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (/ -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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -3 1) into -3 * [misc]backup-simplify: Simplify (log -3) into (log -3) * [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 (+ (* (- 2) (log b)) (log -3)) into (- (log -3) (* 2 (log b))) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (- (log -3) (* 2 (log b))) (- (log a))) into (- (log -3) (+ (* 2 (log b)) (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log -3) (+ (* 2 (log b)) (log a)))) into (* 3 (- (log -3) (+ (* 2 (log b)) (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -3) (+ (* 2 (log b)) (log a))))) into (exp (* 3 (- (log -3) (+ (* 2 (log b)) (log 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]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 (/ (exp (* 3 (- (log -3) (+ (* 2 (log b)) (log a))))) 1) into (exp (* 3 (- (log -3) (+ (* 2 (log b)) (log a))))) * [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]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (+ 9 0) into 9 * [misc]backup-simplify: Simplify (+ 0 9) into 9 * [misc]backup-simplify: Simplify (+ 9 0) into 9 * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 17 1) into 17 * [misc]backup-simplify: Simplify (- 17) into -17 * [misc]backup-simplify: Simplify (+ 0 -17) into -17 * [misc]backup-simplify: Simplify -17 into -17 * [misc]backup-simplify: Simplify (+ (* -17 (sqr (* (pow (/ 1 b) -4) (pow (/ 1 a) -3)))) (+ (* 3 (sqr (* (pow (/ 1 b) -5) (/ 1 (sqr (/ 1 a)))))) (* 9 (sqr (* (pow (/ 1 b) -6) (/ 1 (/ 1 a))))))) into (- (+ (* 3 (* (pow b 10) (pow a 4))) (* 9 (* (pow b 12) (sqr a)))) (* 17 (* (pow b 8) (pow a 6)))) * [misc]approximate: Taking taylor expansion of (+ (* (sqr (- (sqr (sqr (/ 1 (- a)))) (sqr (sqr (/ 1 (- b)))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (sqr (sqr (/ 1 (- a)))) (sqr (sqr (/ 1 (- b)))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3))))) in b * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (sqr (/ 1 (- a)))) (sqr (sqr (/ 1 (- b)))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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)))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 (- a)))) (sqr (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)))) 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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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))) (+ 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)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in b * [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 (/ 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 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3)))) 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 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3))) 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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 (- a))) (+ 1 (/ 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))) (+ 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]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 (log (/ (- 1 (/ 1 a)) (sqr a))) into (log (/ (- 1 (/ 1 a)) (sqr a))) * [misc]backup-simplify: Simplify (* 3 (log (/ (- 1 (/ 1 a)) (sqr a)))) into (* 3 (log (/ (- 1 (/ 1 a)) (sqr a)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ (- 1 (/ 1 a)) (sqr a))))) into (pow (/ (- 1 (/ 1 a)) (sqr a)) 3) * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 (- b))) (- 1 (* 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 (log (* (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]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 (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (* 1 (+ (* 3 (/ 1 a)) 1)) into (+ (* 3 (/ 1 a)) 1) * [misc]backup-simplify: Simplify (log (+ (* 3 (/ 1 a)) 1)) into (log (+ (* 3 (/ 1 a)) 1)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (+ (* 3 (/ 1 a)) 1))) into (- (log (+ (* 3 (/ 1 a)) 1)) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 3 (- (log (+ (* 3 (/ 1 a)) 1)) (* 2 (log b)))) into (* 3 (- (log (+ (* 3 (/ 1 a)) 1)) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (+ (* 3 (/ 1 a)) 1)) (* 2 (log b))))) into (exp (* 3 (- (log (+ (* 3 (/ 1 a)) 1)) (* 2 (log b))))) * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (sqr (sqr (/ 1 (- a)))) (sqr (sqr (/ 1 (- b)))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (sqr (/ 1 (- a)))) (sqr (sqr (/ 1 (- b)))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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)))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 (- a)))) (sqr (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)))) 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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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))) (+ 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)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [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 (/ 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 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3)))) 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 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- 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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 (- a))) (+ 1 (/ 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))) (+ 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]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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 3) (log a)) (log -1)) into (- (log -1) (* 3 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (* 3 (log a)))) into (* 3 (- (log -1) (* 3 (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (* 3 (log a))))) into (exp (* 3 (- (log -1) (* 3 (log a))))) * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 (- b))) (- 1 (* 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 (log (* (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 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 (log (/ 3 (sqr b))) into (log (/ 3 (sqr b))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (/ 3 (sqr b)))) into (- (log (/ 3 (sqr b))) (log a)) * [misc]backup-simplify: Simplify (* 3 (- (log (/ 3 (sqr b))) (log a))) into (* 3 (- (log (/ 3 (sqr b))) (log a))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) into (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) * [misc]taylor: Taking taylor expansion of (+ (* (sqr (- (sqr (sqr (/ 1 (- a)))) (sqr (sqr (/ 1 (- b)))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))))) (* (sqr (- (sqr (/ 1 (- a))) (sqr (/ 1 (- b))))) (* 4 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3))))) in a * [misc]taylor: Taking taylor expansion of (* (sqr (- (sqr (sqr (/ 1 (- a)))) (sqr (sqr (/ 1 (- b)))))) (+ (sqr (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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)))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (sqr (/ 1 (- a)))) (sqr (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)))) 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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))) (- (sqr (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))) (* (* (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))) (+ 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)))))) (* (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))))) in a * [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 (/ 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 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3)))) 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 (+ (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- 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 (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a)))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 (- a))) (+ 1 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 (- a))) (+ 1 (/ 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))) (+ 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]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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 3) (log a)) (log -1)) into (- (log -1) (* 3 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (* 3 (log a)))) into (* 3 (- (log -1) (* 3 (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (* 3 (log a))))) into (exp (* 3 (- (log -1) (* 3 (log a))))) * [misc]taylor: Taking taylor expansion of (pow (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a))))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sqr (/ 1 (- b))) (- 1 (* 3 (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sqr (/ 1 (- b))) (- 1 (* 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 (log (* (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 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 (log (/ 3 (sqr b))) into (log (/ 3 (sqr b))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (/ 3 (sqr b)))) into (- (log (/ 3 (sqr b))) (log a)) * [misc]backup-simplify: Simplify (* 3 (- (log (/ 3 (sqr b))) (log a))) into (* 3 (- (log (/ 3 (sqr b))) (log a))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) into (exp (* 3 (- (log (/ 3 (sqr b))) (log 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 (* 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 (* 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 1) (* 1 -1)) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 -2) (* 0 1)) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [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 (* -1 (/ 3 (sqr b))) 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 (* 3 (/ 1 (sqr b)))) into (+ 1 (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* 0 1))) into (+ 1 (* 3 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (+ 1 (* 3 (/ 1 (sqr b)))) 0) into (+ 1 (* 3 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* 3 (/ 1 (sqr b)))) 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 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) 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) 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 (sqr b))) (* 1 (/ 3 (sqr b)))) into (* 2 (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (sqr b)))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (sqr b))))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (sqr b))))) into (- (* 2 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2 (/ 1 (sqr b))))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* 0 1)))) into (- (* 2 (/ 1 (sqr b)))) * [misc]backup-simplify: Simplify (+ (- (* 2 (/ 1 (sqr b)))) 0) into (- (* 2 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr b)))) in 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 (- 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 (- 0) into 0 * [misc]backup-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 (- 0) into 0 * [misc]backup-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 (sqr b))) (* 0 (/ 3 (sqr b))))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr b))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (/ 9 (pow b 4)) (- (/ 1 (sqr b)))) into (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) into (- (* 9 (/ 1 (pow b 4))) (/ 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 (- 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 (- (/ 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 (+ (* 1 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* (- (/ 1 (pow b 4))) 1))))) into (- (* 2 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (- (* 2 (/ 1 (sqr b))))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* (- (* 2 (/ 1 (pow b 4)))) 1))))) into (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) 0) into (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) * [misc]taylor: Taking taylor expansion of (- (* 7 (/ 1 (pow b 4))) (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of (* 7 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 7 in b * [misc]backup-simplify: Simplify 7 into 7 * [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 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (sqr b))) (* 0 (/ 3 (sqr b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 6 (/ 1 (pow b 4))) 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (- (* 2 (/ 1 (sqr b))))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* (- (* 2 (/ 1 (pow b 4)))) -2) (* 0 1)))))) into (* 10 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* 10 (/ 1 (pow b 4))) 0) into (* 10 (/ 1 (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 10 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 10 in b * [misc]backup-simplify: Simplify 10 into 10 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (sqr b))) (* 0 (/ 3 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 4))) (+ (* 0 (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (- (* 2 (/ 1 (sqr b))))) (+ (* (- (* 2 (/ 1 (pow b 4)))) (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* 0 1))))))) into (- (+ (* 6 (/ 1 (pow b 6))) (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (- (+ (* 6 (/ 1 (pow b 6))) (/ 1 (pow b 4)))) 0) into (- (+ (* 6 (/ 1 (pow b 6))) (/ 1 (pow b 4)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 6 (/ 1 (pow b 6))) (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ 1 (pow b 6))) (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (pow b 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 (/ 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]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 (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (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 (+ 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* (- (/ 1 (pow b 4))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* (- (* 2 (/ 1 (pow b 4)))) (- (* 2 (/ 1 (sqr b))))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* 0 1)))))))) into (* 4 (/ 1 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow b 6))) 0) into (* 4 (/ 1 (pow b 6))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 6))) 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 (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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (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 (+ 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into (/ 1 (pow b 8)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 (* 6 (/ 1 (pow b 4)))) (+ (* (- (* 2 (/ 1 (pow b 4)))) (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (- (* 2 (/ 1 (sqr b))))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* (/ 1 (pow b 8)) 1))))))))) into (- (* 2 (/ 1 (pow b 6))) (* 17 (/ 1 (pow b 8)))) * [misc]backup-simplify: Simplify (+ (- (* 2 (/ 1 (pow b 6))) (* 17 (/ 1 (pow b 8)))) 0) into (- (* 2 (/ 1 (pow b 6))) (* 17 (/ 1 (pow b 8)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow b 6))) (* 17 (/ 1 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 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)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 17 (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of 17 in b * [misc]backup-simplify: Simplify 17 into 17 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (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 (+ 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (- (* 2 (/ 1 (pow b 4)))) (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (- (* 2 (/ 1 (sqr b))))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* (/ 1 (pow b 8)) -2) (* 0 1)))))))))) into (- (* 14 (/ 1 (pow b 8)))) * [misc]backup-simplify: Simplify (+ (- (* 14 (/ 1 (pow b 8)))) 0) into (- (* 14 (/ 1 (pow b 8)))) * [misc]taylor: Taking taylor expansion of (- (* 14 (/ 1 (pow b 8)))) in b * [misc]taylor: Taking taylor expansion of (* 14 (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of 14 in b * [misc]backup-simplify: Simplify 14 into 14 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (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 (+ 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 4)))) (/ 1 (pow b 4))) (+ (* 0 (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (- (* 2 (/ 1 (sqr b))))) (+ (* (/ 1 (pow b 8)) (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* 0 1))))))))))) into (- (* 3 (/ 1 (pow b 10))) (/ 1 (pow b 8))) * [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 (+ (exp (* 3 (- (log -1) (* 3 (log a))))) (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) into (+ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (exp (* 3 (- (log -1) (* 3 (log a)))))) * [misc]backup-simplify: Simplify (* 4 (+ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (exp (* 3 (- (log -1) (* 3 (log a))))))) into (* 4 (+ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (exp (* 3 (- (log -1) (* 3 (log a))))))) * [misc]backup-simplify: Simplify (* 1 (* 4 (+ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (exp (* 3 (- (log -1) (* 3 (log a)))))))) into (* 4 (+ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (exp (* 3 (- (log -1) (* 3 (log a))))))) * [misc]backup-simplify: Simplify (+ (- (* 3 (/ 1 (pow b 10))) (/ 1 (pow b 8))) (* 4 (+ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (exp (* 3 (- (log -1) (* 3 (log a)))))))) into (- (+ (* 4 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (+ (* 4 (exp (* 3 (- (log -1) (* 3 (log a)))))) (* 3 (/ 1 (pow b 10))))) (/ 1 (pow b 8))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (+ (* 4 (exp (* 3 (- (log -1) (* 3 (log a)))))) (* 3 (/ 1 (pow b 10))))) (/ 1 (pow b 8))) in b * [misc]taylor: Taking taylor expansion of (+ (* 4 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (+ (* 4 (exp (* 3 (- (log -1) (* 3 (log a)))))) (* 3 (/ 1 (pow b 10))))) in b * [misc]taylor: Taking taylor expansion of (* 4 (exp (* 3 (- (log (/ 3 (sqr b))) (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 (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (- (log (/ 3 (sqr b))) (log 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 (/ 3 (sqr b))) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (/ 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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 3 1) into 3 * [misc]backup-simplify: Simplify (log 3) into (log 3) * [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 (+ (* (- 2) (log b)) (log 3)) into (- (log 3) (* 2 (log b))) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (- (log 3) (* 2 (log b))) (- (log a))) into (- (log 3) (+ (* 2 (log b)) (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log 3) (+ (* 2 (log b)) (log a)))) into (* 3 (- (log 3) (+ (* 2 (log b)) (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log 3) (+ (* 2 (log b)) (log a))))) into (exp (* 3 (- (log 3) (+ (* 2 (log b)) (log a))))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (exp (* 3 (- (log -1) (* 3 (log a)))))) (* 3 (/ 1 (pow b 10)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (exp (* 3 (- (log -1) (* 3 (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 (exp (* 3 (- (log -1) (* 3 (log a))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (- (log -1) (* 3 (log 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 -1) (* 3 (log a))) in b * [misc]taylor: Taking taylor expansion of (log -1) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* 3 (log 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 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 (* 3 (log a)) into (* 3 (log a)) * [misc]backup-simplify: Simplify (- (* 3 (log a))) into (- (* 3 (log a))) * [misc]backup-simplify: Simplify (+ (log -1) (- (* 3 (log a)))) into (- (log -1) (* 3 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (* 3 (log a)))) into (* 3 (- (log -1) (* 3 (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (* 3 (log a))))) into (exp (* 3 (- (log -1) (* 3 (log a))))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 10))) 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 (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 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 (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ (* 3 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 (+ 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 (- 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 (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 3)))))))))) 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 (+ 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 (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 (+ 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 4)))) 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 (* 6 (/ 1 (pow b 4)))) (+ (* 0 (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* (/ 1 (pow b 8)) (- (* 2 (/ 1 (sqr b))))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* 0 1)))))))))))) into (- (* 2 (/ 1 (pow b 10)))) * [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 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 3) (log a)) (log -1)) into (- (log -1) (* 3 (log a))) * [misc]backup-simplify: Simplify (+ (* 3 -1) (* 0 (- (log -1) (* 3 (log a))))) into (- 3) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (* 3 (log a))))) (+ (* (/ (pow (- 3) 1) 1)))) into (* -3 (exp (* 3 (- (log -1) (* 3 (log a)))))) * [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 (/ (* (pow (* 1 (/ 1 (sqr b))) 1)) (pow (/ 3 (sqr b)) 1)))) 1) into 1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (/ 3 (sqr b)))) into (- (log (/ 3 (sqr b))) (log a)) * [misc]backup-simplify: Simplify (+ (* 3 1/3) (* 0 (- (log (/ 3 (sqr b))) (log a)))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (+ (* (/ (pow 1 1) 1)))) into (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) * [misc]backup-simplify: Simplify (+ (* -3 (exp (* 3 (- (log -1) (* 3 (log a)))))) (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) into (- (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (* 3 (exp (* 3 (- (log -1) (* 3 (log a))))))) * [misc]backup-simplify: Simplify (+ (* 4 (- (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (* 3 (exp (* 3 (- (log -1) (* 3 (log a)))))))) (* 0 (+ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (exp (* 3 (- (log -1) (* 3 (log a)))))))) into (- (* 4 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (* 12 (exp (* 3 (- (log -1) (* 3 (log a))))))) * [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 (- (* 4 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (* 12 (exp (* 3 (- (log -1) (* 3 (log a)))))))) (* 0 (* 4 (+ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (exp (* 3 (- (log -1) (* 3 (log a))))))))) into (- (* 4 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (* 12 (exp (* 3 (- (log -1) (* 3 (log a))))))) * [misc]backup-simplify: Simplify (+ (- (* 2 (/ 1 (pow b 10)))) (- (* 4 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (* 12 (exp (* 3 (- (log -1) (* 3 (log a)))))))) into (- (* 4 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (+ (* 12 (exp (* 3 (- (log -1) (* 3 (log a)))))) (* 2 (/ 1 (pow b 10))))) * [misc]taylor: Taking taylor expansion of (- (* 4 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (+ (* 12 (exp (* 3 (- (log -1) (* 3 (log a)))))) (* 2 (/ 1 (pow b 10))))) in b * [misc]taylor: Taking taylor expansion of (* 4 (exp (* 3 (- (log (/ 3 (sqr b))) (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 (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (- (log (/ 3 (sqr b))) (log 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 (/ 3 (sqr b))) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (/ 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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 3 1) into 3 * [misc]backup-simplify: Simplify (log 3) into (log 3) * [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 (+ (* (- 2) (log b)) (log 3)) into (- (log 3) (* 2 (log b))) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (- (log 3) (* 2 (log b))) (- (log a))) into (- (log 3) (+ (* 2 (log b)) (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log 3) (+ (* 2 (log b)) (log a)))) into (* 3 (- (log 3) (+ (* 2 (log b)) (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log 3) (+ (* 2 (log b)) (log a))))) into (exp (* 3 (- (log 3) (+ (* 2 (log b)) (log a))))) * [misc]taylor: Taking taylor expansion of (+ (* 12 (exp (* 3 (- (log -1) (* 3 (log a)))))) (* 2 (/ 1 (pow b 10)))) in b * [misc]taylor: Taking taylor expansion of (* 12 (exp (* 3 (- (log -1) (* 3 (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 (exp (* 3 (- (log -1) (* 3 (log a))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (- (log -1) (* 3 (log 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 -1) (* 3 (log a))) in b * [misc]taylor: Taking taylor expansion of (log -1) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* 3 (log 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 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 (* 3 (log a)) into (* 3 (log a)) * [misc]backup-simplify: Simplify (- (* 3 (log a))) into (- (* 3 (log a))) * [misc]backup-simplify: Simplify (+ (log -1) (- (* 3 (log a)))) into (- (log -1) (* 3 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (* 3 (log a)))) into (* 3 (- (log -1) (* 3 (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (* 3 (log a))))) into (exp (* 3 (- (log -1) (* 3 (log a))))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (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 (/ 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ (* 3 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 (+ 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 (- 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 (+ (* (/ 1 (sqr b)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 3))))))))))) 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 (+ 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 (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 (+ 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (/ 1 (pow b 4))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 4)))) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* 0 (* 6 (/ 1 (pow b 4)))) (+ (* (/ 1 (pow b 8)) (- (* 9 (/ 1 (pow b 4))) (/ 1 (sqr b)))) (+ (* 0 (- (* 2 (/ 1 (sqr b))))) (+ (* 0 (+ 1 (* 3 (/ 1 (sqr b))))) (+ (* 0 -2) (* 0 1))))))))))))) into (- (* 9 (/ 1 (pow b 12))) (/ 1 (pow b 10))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 3) (log a)) (log -1)) into (- (log -1) (* 3 (log a))) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 3 (log a)))))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (* 3 (log a))))) (+ (* (/ (pow (- 3) 2) 2)) (* (/ (pow (- 3/2) 1) 1)))) into (* 3 (exp (* 3 (- (log -1) (* 3 (log 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 (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (sqr b))) 2)) (pow (/ 3 (sqr b)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 3 (sqr b)) 1)))) 2) into -1/18 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (/ 3 (sqr b)))) into (- (log (/ 3 (sqr b))) (log a)) * [misc]backup-simplify: Simplify (+ (* 3 -1/18) (+ (* 0 1/3) (* 0 (- (log (/ 3 (sqr b))) (log a))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* 1/3 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) * [misc]backup-simplify: Simplify (+ (* 3 (exp (* 3 (- (log -1) (* 3 (log a)))))) (* 1/3 (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))))) into (+ (* 1/3 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (* 3 (exp (* 3 (- (log -1) (* 3 (log a))))))) * [misc]backup-simplify: Simplify (+ (* 4 (+ (* 1/3 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (* 3 (exp (* 3 (- (log -1) (* 3 (log a)))))))) (+ (* 0 (- (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (* 3 (exp (* 3 (- (log -1) (* 3 (log a)))))))) (* 0 (+ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (exp (* 3 (- (log -1) (* 3 (log a))))))))) into (+ (* 4/3 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (* 12 (exp (* 3 (- (log -1) (* 3 (log 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 (/ 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 (- (/ 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 (+ (* 4/3 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (* 12 (exp (* 3 (- (log -1) (* 3 (log a)))))))) (+ (* 0 (- (* 4 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (* 12 (exp (* 3 (- (log -1) (* 3 (log a)))))))) (* (- (* 2 (/ 1 (sqr b)))) (* 4 (+ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (exp (* 3 (- (log -1) (* 3 (log a)))))))))) into (- (+ (* 4/3 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (* 12 (exp (* 3 (- (log -1) (* 3 (log a))))))) (+ (* 8 (/ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (sqr b))) (* 8 (/ (exp (* 3 (- (log -1) (* 3 (log a))))) (sqr b))))) * [misc]backup-simplify: Simplify (+ (- (* 9 (/ 1 (pow b 12))) (/ 1 (pow b 10))) (- (+ (* 4/3 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (* 12 (exp (* 3 (- (log -1) (* 3 (log a))))))) (+ (* 8 (/ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (sqr b))) (* 8 (/ (exp (* 3 (- (log -1) (* 3 (log a))))) (sqr b)))))) into (- (+ (* 4/3 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (+ (* 12 (exp (* 3 (- (log -1) (* 3 (log a)))))) (* 9 (/ 1 (pow b 12))))) (+ (* 8 (/ (exp (* 3 (- (log -1) (* 3 (log a))))) (sqr b))) (+ (/ 1 (pow b 10)) (* 8 (/ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (sqr b)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4/3 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (+ (* 12 (exp (* 3 (- (log -1) (* 3 (log a)))))) (* 9 (/ 1 (pow b 12))))) (+ (* 8 (/ (exp (* 3 (- (log -1) (* 3 (log a))))) (sqr b))) (+ (/ 1 (pow b 10)) (* 8 (/ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (sqr b)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 4/3 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) (+ (* 12 (exp (* 3 (- (log -1) (* 3 (log a)))))) (* 9 (/ 1 (pow b 12))))) in b * [misc]taylor: Taking taylor expansion of (* 4/3 (exp (* 3 (- (log (/ 3 (sqr b))) (log a))))) in b * [misc]taylor: Taking taylor expansion of 4/3 in b * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (- (log (/ 3 (sqr b))) (log 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 (/ 3 (sqr b))) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (/ 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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 3 1) into 3 * [misc]backup-simplify: Simplify (log 3) into (log 3) * [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 (+ (* (- 2) (log b)) (log 3)) into (- (log 3) (* 2 (log b))) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (- (log 3) (* 2 (log b))) (- (log a))) into (- (log 3) (+ (* 2 (log b)) (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log 3) (+ (* 2 (log b)) (log a)))) into (* 3 (- (log 3) (+ (* 2 (log b)) (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log 3) (+ (* 2 (log b)) (log a))))) into (exp (* 3 (- (log 3) (+ (* 2 (log b)) (log a))))) * [misc]taylor: Taking taylor expansion of (+ (* 12 (exp (* 3 (- (log -1) (* 3 (log a)))))) (* 9 (/ 1 (pow b 12)))) in b * [misc]taylor: Taking taylor expansion of (* 12 (exp (* 3 (- (log -1) (* 3 (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 (exp (* 3 (- (log -1) (* 3 (log a))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (- (log -1) (* 3 (log 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 -1) (* 3 (log a))) in b * [misc]taylor: Taking taylor expansion of (log -1) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* 3 (log 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 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 (* 3 (log a)) into (* 3 (log a)) * [misc]backup-simplify: Simplify (- (* 3 (log a))) into (- (* 3 (log a))) * [misc]backup-simplify: Simplify (+ (log -1) (- (* 3 (log a)))) into (- (log -1) (* 3 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (* 3 (log a)))) into (* 3 (- (log -1) (* 3 (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (* 3 (log a))))) into (exp (* 3 (- (log -1) (* 3 (log a))))) * [misc]taylor: Taking taylor expansion of (* 9 (/ 1 (pow b 12))) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [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 (+ (* 8 (/ (exp (* 3 (- (log -1) (* 3 (log a))))) (sqr b))) (+ (/ 1 (pow b 10)) (* 8 (/ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (sqr b))))) in b * [misc]taylor: Taking taylor expansion of (* 8 (/ (exp (* 3 (- (log -1) (* 3 (log a))))) (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 (/ (exp (* 3 (- (log -1) (* 3 (log a))))) (sqr b)) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (- (log -1) (* 3 (log a))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (- (log -1) (* 3 (log 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 -1) (* 3 (log a))) in b * [misc]taylor: Taking taylor expansion of (log -1) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* 3 (log 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 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 (* 3 (log a)) into (* 3 (log a)) * [misc]backup-simplify: Simplify (- (* 3 (log a))) into (- (* 3 (log a))) * [misc]backup-simplify: Simplify (+ (log -1) (- (* 3 (log a)))) into (- (log -1) (* 3 (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (* 3 (log a)))) into (* 3 (- (log -1) (* 3 (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (* 3 (log a))))) into (exp (* 3 (- (log -1) (* 3 (log 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]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 (/ (exp (* 3 (- (log -1) (* 3 (log a))))) 1) into (exp (* 3 (- (log -1) (* 3 (log a))))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 10)) (* 8 (/ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (sqr b)))) in b * [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 (/ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (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 (/ (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) (sqr b)) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (- (log (/ 3 (sqr b))) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (- (log (/ 3 (sqr b))) (log 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 (/ 3 (sqr b))) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (/ 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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 3 1) into 3 * [misc]backup-simplify: Simplify (log 3) into (log 3) * [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 (+ (* (- 2) (log b)) (log 3)) into (- (log 3) (* 2 (log b))) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (- (log 3) (* 2 (log b))) (- (log a))) into (- (log 3) (+ (* 2 (log b)) (log a))) * [misc]backup-simplify: Simplify (* 3 (- (log 3) (+ (* 2 (log b)) (log a)))) into (* 3 (- (log 3) (+ (* 2 (log b)) (log a)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log 3) (+ (* 2 (log b)) (log a))))) into (exp (* 3 (- (log 3) (+ (* 2 (log b)) (log 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]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 (/ (exp (* 3 (- (log 3) (+ (* 2 (log b)) (log a))))) 1) into (exp (* 3 (- (log 3) (+ (* 2 (log b)) (log a))))) * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (+ 0 9) into 9 * [misc]backup-simplify: Simplify (+ 0 9) into 9 * [misc]backup-simplify: Simplify (+ 9 0) into 9 * [misc]backup-simplify: Simplify 9 into 9 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 17 1) into 17 * [misc]backup-simplify: Simplify (- 17) into -17 * [misc]backup-simplify: Simplify (+ 0 -17) into -17 * [misc]backup-simplify: Simplify -17 into -17 * [misc]backup-simplify: Simplify (+ (* -17 (sqr (* (pow (/ 1 (- b)) -4) (pow (/ 1 (- a)) -3)))) (+ (* 3 (sqr (* (pow (/ 1 (- b)) -5) (/ 1 (sqr (/ 1 (- a))))))) (* 9 (sqr (* (pow (/ 1 (- b)) -6) (/ 1 (/ 1 (- a)))))))) into (- (+ (* 3 (* (pow b 10) (pow a 4))) (* 9 (* (pow b 12) (sqr a)))) (* 17 (* (pow b 8) (pow a 6)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2 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 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 (+ (* 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 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 (- (* 3 (sqr b)))) (* 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 (+ (* 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 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 0) (+ (* 0 (- (* 3 (sqr b)))) (* 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)) (+ 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 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 (* 1 (/ -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 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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -3 1) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [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 (/ 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 (sqr b))) (* 1 (/ -3 (sqr b)))) into (- (* 2 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr b)))) in 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- (+ (* 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 (sqr b))) (* 0 (/ -3 (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 a))))) (+ (* -2 (* (/ 1 (sqr (/ 1 b))) (pow (/ 1 a) -3))) (* -3 (sqr (* (/ 1 (/ 1 b)) (/ 1 (sqr (/ 1 a)))))))) into (- (* (sqr b) (sqr a)) (+ (* 2 (* (sqr b) (pow a 3))) (* 3 (* (sqr b) (pow a 4))))) * [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 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 (* -1 (/ 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 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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -3 1) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [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) 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 (sqr b))) (* 1 (/ 3 (sqr b)))) 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- 0) into 0 * [misc]backup-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 (sqr b))) (* 0 (/ 3 (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 (- a)))))) (+ (* 2 (* (/ 1 (sqr (/ 1 (- b)))) (pow (/ 1 (- a)) -3))) (* -3 (sqr (* (/ 1 (/ 1 (- b))) (/ 1 (sqr (/ 1 (- a))))))))) into (- (* (sqr b) (sqr a)) (+ (* 2 (* (sqr b) (pow a 3))) (* 3 (* (sqr b) (pow a 4))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 2 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 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 (+ (* 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 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 (- (* 3 (sqr b)))) (* 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 (+ (* 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 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 0) (+ (* 0 (- (* 3 (sqr b)))) (* 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)) (+ 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 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 (* 1 (/ -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 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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -3 1) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [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 (/ 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 (sqr b))) (* 1 (/ -3 (sqr b)))) into (- (* 2 (/ 1 (sqr b)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr b)))) in 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- (+ (* 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 (sqr b))) (* 0 (/ -3 (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 a))))) (+ (* -2 (* (/ 1 (sqr (/ 1 b))) (pow (/ 1 a) -3))) (* -3 (sqr (* (/ 1 (/ 1 b)) (/ 1 (sqr (/ 1 a)))))))) into (- (* (sqr b) (sqr a)) (+ (* 2 (* (sqr b) (pow a 3))) (* 3 (* (sqr b) (pow a 4))))) * [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 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 (* -1 (/ 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 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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -3 1) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [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) 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 (sqr b))) (* 1 (/ 3 (sqr b)))) 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- 0) into 0 * [misc]backup-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 (sqr b))) (* 0 (/ 3 (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 (- a)))))) (+ (* 2 (* (/ 1 (sqr (/ 1 (- b)))) (pow (/ 1 (- a)) -3))) (* -3 (sqr (* (/ 1 (/ 1 (- b))) (/ 1 (sqr (/ 1 (- a))))))))) into (- (* (sqr b) (sqr a)) (+ (* 2 (* (sqr b) (pow a 3))) (* 3 (* (sqr b) (pow a 4))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 2108 ] 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 (+ (sqr a) (* b b))) (- (* (sqr a) (* a 4)) 1)) * * * * [misc]progress: [ 2 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (sqr (* a b))) (+ (- (pow a 4) 1) (sqr (* a b)))) * * * * [misc]progress: [ 3 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (sqr (* a b))) (+ (- (pow a 4) 1) (sqr (* a b)))) * * * * [misc]progress: [ 4 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (+ (* 4 (pow a 10)) (* 4 (* (pow b 4) (pow a 6)))) (* 8 (* (sqr b) (pow a 8)))) (* (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)))))))) 1) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (- (/ (/ (- (* (+ (pow a 10) (* (pow a 6) (pow b 4))) 4) (* (* (* b b) (pow a 8)) 8)) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (sqr a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (sqr a)))))) 1) * * * * [misc]progress: [ 5 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (+ (* 3 (* (pow b 10) (pow a 4))) (* 9 (* (pow b 12) (sqr a)))) (* 17 (* (pow b 8) (pow a 6)))) (* (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)))))))) 1) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ (* (* (pow b 12) (* a a)) 9) (- (* (* 3 (pow a 4)) (pow b 10)) (* (* (pow a 6) (pow b 8)) 17))) (sqr (- (* a a) (sqr b)))) (- (* (* (sqr b) (- 1 (* 3 a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (- (* (sqr b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) 1) * * * * [misc]progress: [ 6 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (+ (* 3 (* (pow b 10) (pow a 4))) (* 9 (* (pow b 12) (sqr a)))) (* 17 (* (pow b 8) (pow a 6)))) (* (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)))))))) 1) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ (* (* (pow b 12) (* a a)) 9) (- (* (* 3 (pow a 4)) (pow b 10)) (* (* (pow a 6) (pow b 8)) 17))) (sqr (- (* a a) (sqr b)))) (- (* (* (sqr b) (- 1 (* 3 a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (- (* (sqr b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) 1) * * * * [misc]progress: [ 7 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) 0)))) 1) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (- (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) 1) * * * * [misc]progress: [ 8 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (- (* (sqr b) (sqr a)) (+ (* 2 (* (sqr b) (pow a 3))) (* 3 (* (sqr b) (pow a 4))))))))) 1) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (- (/ (+ (* (* (* 4 (* (- a b) (+ a b))) (* (- a b) (+ a b))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (sqr (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (- (* (sqr b) (* (* a a) (- 1 (+ a a)))) (+ (* (* (sqr b) 3) (pow a 4)) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) 1) * * * * [misc]progress: [ 9 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (- (* (sqr b) (sqr a)) (+ (* 2 (* (sqr b) (pow a 3))) (* 3 (* (sqr b) (pow a 4))))))))) 1) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (- (/ (+ (* (* (* 4 (* (- a b) (+ a b))) (* (- a b) (+ a b))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (sqr (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (- (* (sqr b) (* (* a a) (- 1 (+ a a)))) (+ (* (* (sqr b) 3) (pow a 4)) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) 1) * * * * [misc]progress: [ 10 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) 0))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (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)))))))) 1) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (- (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (sqr (- (* a a) (sqr b))) (+ (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) 1) * * * * [misc]progress: [ 11 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (- (* (sqr b) (sqr a)) (+ (* 2 (* (sqr b) (pow a 3))) (* 3 (* (sqr b) (pow a 4)))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (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)))))))) 1) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (- (/ (+ (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (+ (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (- (* (sqr b) (* (* a a) (- 1 (+ a a)))) (* (* 3 (pow a 4)) (sqr b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* 4 (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))))) (* (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b))))) 1) * * * * [misc]progress: [ 12 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (- (* (sqr b) (sqr a)) (+ (* 2 (* (sqr b) (pow a 3))) (* 3 (* (sqr b) (pow a 4)))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (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)))))))) 1) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (- (/ (+ (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (+ (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (- (* (sqr b) (* (* a a) (- 1 (+ a a)))) (* (* 3 (pow a 4)) (sqr b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* 4 (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))))) (* (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b))))) 1) * * * * [misc]progress: [ 13 / 2108 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* (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)))))) (+ (log (sqr (- (sqr a) (sqr b)))) (log (+ (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 (35 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (- (log (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) (+ (log (sqr (- (* a a) (sqr b)))) (log (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (- (log (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) (+ (log (sqr (- (* a a) (sqr b)))) (log (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 15 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* (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)))))) (log (* (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 (34 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (- (log (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) (log (* (sqr (* (- a b) (+ a b))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (- (log (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) (log (* (sqr (* (- a b) (+ a b))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 16 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (* (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))))) (* (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 (33 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (log (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (log (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 17 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (* (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))))) (* (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 (33 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (exp (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (exp (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 18 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (+ (* (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)))))) (* (cube (sqr (- (sqr a) (sqr b)))) (cube (+ (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 (35 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (cube (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))))))) (* (cube (sqr (- (* a a) (sqr b)))) (cube (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))))))) * [exit]simplify: Simplified to (/ (cube (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))))))) (* (cube (sqr (- (* a a) (sqr b)))) (cube (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))))))) * * * * [misc]progress: [ 19 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (+ (* (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)))))) (cube (* (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 (34 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) (/ (cube (* (sqr (- (* a a) (sqr b))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (/ (* (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) (/ (cube (* (sqr (- (* a a) (sqr b))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))))) * * * * [misc]progress: [ 20 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ (* (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))))) (* (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 (33 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (cbrt (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 21 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (+ (* (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))))) (* (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 (33 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (380 enodes) * [exit]simplify: Simplified to (cube (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (sqr (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (cube (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (sqr (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 22 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (* (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)))))) (cbrt (* (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 (34 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) (cbrt (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) (cbrt (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 23 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (* (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)))))) (* (cbrt (sqr (- (sqr a) (sqr b)))) (cbrt (+ (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 (35 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) (* (cbrt (sqr (- (* a a) (sqr b)))) (cbrt (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) (* (cbrt (sqr (- (* a a) (sqr b)))) (cbrt (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 24 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* (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))))) (* (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 (33 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (sqrt (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 25 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* (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)))))) (sqrt (* (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 (34 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) (sqrt (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) (sqrt (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 26 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* (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)))))) (* (- (sqr a) (sqr b)) (sqrt (+ (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 (34 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) (* (- (* a a) (sqr b)) (sqrt (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) (* (- (* a a) (sqr b)) (sqrt (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 27 / 2108 ] 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 (31 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (- 4) (sqr (- (* a a) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (- (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (- 4) (sqr (- (* a a) (sqr 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 (20 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (+ 1 a) (+ 1 a)) (* (cube a) (- a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- 1 (* a 3)) (* (- b) b))) (- (* (- 1 (* a 3)) (* b b)) (* (* a a) (+ a 1))))) * [exit]simplify: Simplified to (+ (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (+ 1 a) (+ 1 a)) (* (cube a) (- a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- 1 (* a 3)) (* (- b) b))) (- (* (- 1 (* a 3)) (* b b)) (* (* a a) (+ a 1))))) * * * * [misc]progress: [ 28 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqr (- (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (+ b a) (- a b)) (* (+ b a) (- a b)))) * [exit]simplify: Simplified to (/ 1 (* (* (+ b a) (- a b)) (* (+ b a) (- a b)))) * [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))))) (+ (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 (85 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 29 / 2108 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (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 (20 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (* (- a b) (+ b a)) (* (- a b) (+ b a)))) (- (* (* (sqr b) (- 1 (* 3 a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (- (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (/ (/ 1 (* (* (- a b) (+ b a)) (* (- a b) (+ b a)))) (- (* (* (sqr b) (- 1 (* 3 a))) (* (sqr b) (- 1 (* 3 a)))) (* (* (+ a 1) (sqr a)) (- (* (sqr b) (- 1 (* 3 a))) (* (+ a 1) (sqr a)))))) * * * * [misc]progress: [ 31 / 2108 ] simplifiying candidate # * [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))))))) (+ (* (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 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (+ (* (sqr (- (sqr (* a a)) (sqr (* b b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)))) * [exit]simplify: Simplified to (/ (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (+ (* (sqr (- (sqr (* a a)) (sqr (* b b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)))) * * * * [misc]progress: [ 32 / 2108 ] 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))))) (sqr (- (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) * * * * [misc]progress: [ 33 / 2108 ] simplifiying candidate # * [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))))))) (+ (* (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 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (/ (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (+ (* (sqr (- (sqr (* a a)) (sqr (* b b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)))) * [exit]simplify: Simplified to (/ (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (+ (* (sqr (- (sqr (* a a)) (sqr (* b b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)))) * * * * [misc]progress: [ 34 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))))) (* (- (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))))) (* (- (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 35 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (- (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (sqr (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (+ (* (cube a) (* a a)) (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (sqr (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (+ (* (cube a) (* a a)) (* a a))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (- (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (sqr (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (+ (* (cube a) (* a a)) (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (sqr (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (+ (* (cube a) (* a a)) (* a a))))))) * * * * [misc]progress: [ 36 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (363 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (sqr (cube b))))) (+ (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (cube (* 3 a))) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (sqr (cube b))))) (+ (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (cube (* 3 a))) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 37 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (364 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (* (* 3 a) (* 3 a)))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (* (* 3 a) (* 3 a)))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))))) * * * * [misc]progress: [ 38 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b)))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b)))))))) * * * * [misc]progress: [ 39 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * * [misc]simplify: iters left: 4 (341 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (sqr (cube b))))) (+ (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (+ (* 3 a) 1)) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (sqr (cube b))))) (+ (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (+ (* 3 a) 1)) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 40 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (- (* a a) (- a 1)) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* a a) (* (cube a) (* a a))))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (- (* a a) (- a 1)) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* a a) (* (cube a) (* a a))))))))) * * * * [misc]progress: [ 41 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (- 1 a) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (+ (* (cube a) (* a a)) (* a a))))) (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (sqr (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (* a a) (- 1 (* a a)))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (- 1 a) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (+ (* (cube a) (* a a)) (* a a))))) (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (sqr (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (* a a) (- 1 (* a a)))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 42 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (sqr (cube b))))) (+ (* (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))))) (sqr (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (* (cube a) (* a a)) (* a a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (sqr (cube b))))) (+ (* (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))))) (sqr (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (* (cube a) (* a a)) (* a a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * * * * [misc]progress: [ 43 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr b) (- 1 (* (* a 3) (* a 3))))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (sqr (+ (* (cube a) (* a a)) (* a a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr b) (- 1 (* (* a 3) (* a 3))))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (sqr (+ (* (cube a) (* a a)) (* a a)))))) * * * * [misc]progress: [ 44 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (379 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* a a) (- a 1))) (- (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a))))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* a a) (- a 1))) (- (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a))))))))) * * * * [misc]progress: [ 45 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (348 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (sqr (cube b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (* a 3) (- 1 a)) (- 1 a)))) (* (sqr (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (* (* a 3) (* a 3))) (sqr b))) (+ (- 1 a) (* (* a 3) (- 1 a)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (* (* a 3) (* a 3))))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (sqr (cube b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (* a 3) (- 1 a)) (- 1 a)))) (* (sqr (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (* (* a 3) (* a 3))) (sqr b))) (+ (- 1 a) (* (* a 3) (- 1 a)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (* (* a 3) (* a 3))))))))) * * * * [misc]progress: [ 46 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 47 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ (* a 3) 1) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (* (+ 1 a) (* a a)) (sqr b))))) (* (cube (+ (* a 3) 1)) (sqr (+ (* (cube a) (* a a)) (* a a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ (* a 3) 1) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (* (+ 1 a) (* a a)) (sqr b))))) (* (cube (+ (* a 3) 1)) (sqr (+ (* (cube a) (* a a)) (* a a)))))) * * * * [misc]progress: [ 48 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- (* a a) (- a 1)))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3))))) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (sqr b)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (cube a) (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (sqr (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- (* a a) (- a 1)))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3))))) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (sqr b)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (cube a) (* a a)) (* a a)))))))) * * * * [misc]progress: [ 49 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (- (sqr (cube a)) (cube (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 a)) (* (sqr (- (sqr (cube a)) (cube (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) * [exit]simplify: Simplified to (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (- (sqr (cube a)) (cube (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 a)) (* (sqr (- (sqr (cube a)) (cube (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) * * * * [misc]progress: [ 50 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (- (* a a) (- a 1)))) (* (sqr (+ (* (cube a) (* a a)) (* a a))) (+ (* (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (+ (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* a 3)) (sqr b))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (- (* a a) (- a 1)))) (* (sqr (+ (* (cube a) (* a a)) (* a a))) (+ (* (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (+ (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* a 3)) (sqr b))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 51 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (- 1 (* a 3)) (sqr b)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (sqr (+ (* (cube a) (* a a)) (* a a)))) (* (* (sqr (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (sqr (- (sqr (cube a)) (sqr (cube b)))))) * [exit]simplify: Simplified to (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (- 1 (* a 3)) (sqr b)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (sqr (+ (* (cube a) (* a a)) (* a a)))) (* (* (sqr (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (sqr (- (sqr (cube a)) (sqr (cube b)))))) * * * * [misc]progress: [ 52 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (cube (* a a)) (sqr (cube b))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))))) (* (sqr (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (* (- 1 (cube (* 3 a))) (+ (* a a) (* (* a a) (cube a)))) (sqr b)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (cube (* a a)) (sqr (cube b))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))))) (* (sqr (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (* (- 1 (cube (* 3 a))) (+ (* a a) (* (* a a) (cube a)))) (sqr b)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) * * * * [misc]progress: [ 53 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (367 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (- (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (* (* 3 a) (* 3 a)))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (- (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (* (* 3 a) (* 3 a)))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 54 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (cube (* a a)) (cube (sqr b))))) (+ (* (sqr (- 1 a)) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a))))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (cube (* a a)) (cube (sqr b))))) (+ (* (sqr (- 1 a)) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a))))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * * * * [misc]progress: [ 55 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (cube (sqr b))))) (+ (* (sqr (- 1 a)) (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* (- 1 a) (* 3 a)) (- 1 a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (cube (sqr b))))) (+ (* (sqr (- 1 a)) (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* (- 1 a) (* 3 a)) (- 1 a)))))) * * * * [misc]progress: [ 56 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))))) (* (- 1 a) (- 1 a))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))))) (* (- 1 a) (- 1 a))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) * * * * [misc]progress: [ 57 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (- (sqr (cube a)) (cube (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (* 3 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* (+ 1 (* 3 a)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (sqr (- (sqr (cube a)) (cube (sqr b)))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (- (sqr (cube a)) (cube (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (* 3 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* (+ 1 (* 3 a)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (sqr (- (sqr (cube a)) (cube (sqr b)))) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 58 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (cube (* a a)) (sqr (cube b))))) (+ (* (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (* a a) (cube a)) (* a a)))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (cube (* a a)) (sqr (cube b))))) (+ (* (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (* a a) (cube a)) (* a a)))))))) * * * * [misc]progress: [ 59 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (cube (* a a)) (sqr (cube b))))) (+ (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* (- 1 a) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (cube (* a a)) (sqr (cube b))))) (+ (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* (- 1 a) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (- 1 a))))) * * * * [misc]progress: [ 60 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (412 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (+ (* (* (sqr (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (+ (* (* (sqr (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 61 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (* (- (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr (+ (* a 3) 1)) (+ (* (* a a) (cube a)) (* a a))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (* (- (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr (+ (* a 3) 1)) (+ (* (* a a) (cube a)) (* a a))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 62 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (cube (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (cube (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ 1 (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) * * * * [misc]progress: [ 63 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (- (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (* (* (- 1 (* (* a 3) (* a 3))) (sqr b)) (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (- 1 (* a a)) (* (* a a) (sqr b))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (+ (* (* a 3) (- 1 a)) (- 1 a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (* (- (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (* (* (- 1 (* (* a 3) (* a 3))) (sqr b)) (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (- 1 (* a a)) (* (* a a) (sqr b))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (+ (* (* a 3) (- 1 a)) (- 1 a)))))) * * * * [misc]progress: [ 64 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (cube (sqr b))))) (+ (* (- (* (sqr (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr (+ (* 3 a) 1)) (* (+ 1 a) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- 1 a) (- 1 a))) (* (* (sqr (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (cube (sqr b))))) (+ (* (- (* (sqr (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr (+ (* 3 a) 1)) (* (+ 1 a) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- 1 a) (- 1 a))) (* (* (sqr (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 65 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (cube (* a a)) (sqr (cube b))))) (+ (* (cube (+ (* a 3) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (- 1 a)) (- (* (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3))))) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (* (- 1 (* (* a 3) (* a 3))) (* (* (+ 1 a) (* a a)) (sqr b)))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (cube (* a a)) (sqr (cube b))))) (+ (* (cube (+ (* a 3) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (- 1 a)) (- (* (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3))))) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (* (- 1 (* (* a 3) (* a 3))) (* (* (+ 1 a) (* a a)) (sqr b)))))))) * * * * [misc]progress: [ 66 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (sqr (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (- (* a a) (- a 1)) (sqr (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (sqr (+ (* a 3) 1))) (* (- 1 (* a 3)) (sqr b)))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (* (* (sqr (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (- (* a a) (- a 1)) (sqr (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (sqr (+ (* a 3) 1))) (* (- 1 (* a 3)) (sqr b)))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 67 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (* (* (- 1 a) (sqr (+ (* a 3) 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (sqr (+ (* a 3) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a 3)) (sqr b))))) (* (sqr (- (* (cube a) (cube a)) (sqr (cube b)))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (* (* (- 1 a) (sqr (+ (* a 3) 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (sqr (+ (* a 3) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a 3)) (sqr b))))) (* (sqr (- (* (cube a) (cube a)) (sqr (cube b)))) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 68 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* a 3)) (* (* (+ 1 a) (* a a)) (sqr b)))) (* (* (- 1 (* a 3)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (sqr b)))))) (* (sqr (- 1 a)) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* a 3)) (* (* (+ 1 a) (* a a)) (sqr b)))) (* (* (- 1 (* a 3)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (sqr b)))))) (* (sqr (- 1 a)) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 69 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (sqr (- (cube (* a a)) (cube (sqr b)))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (sqr b))))) (* (* (* (- 1 a) (- 1 a)) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (sqr (- (cube (* a a)) (cube (sqr b)))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (sqr b))))) (* (* (* (- 1 a) (- 1 a)) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 70 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3)))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 71 / 2108 ] 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (/ (+ (* (* (* 4 (* (- a b) (+ a b))) (* (- a b) (+ a b))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (* (sqr (- (cube (* a a)) (cube (sqr b)))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))))))) * [exit]simplify: Simplified to (/ (+ (* (* (* 4 (* (- a b) (+ a b))) (* (- a b) (+ a b))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (* (sqr (- (cube (* a a)) (cube (sqr b)))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))))))) * * * * [misc]progress: [ 72 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (sqr b) (+ (* a a) (* (cube a) (* a a)))))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (sqr b) (+ (* a a) (* (cube a) (* a a)))))))))) * * * * [misc]progress: [ 73 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))))) * * * * [misc]progress: [ 74 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)))) (* (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)))) (* (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 75 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (* a a)) (* a a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (* 3 a))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (* a a)) (* a a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (* 3 a))))))) * * * * [misc]progress: [ 76 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (368 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a))))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a))))))))) * * * * [misc]progress: [ 77 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ (* 3 a) 1))) (* (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ 1 (* 3 a))) (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (+ (* 3 a) (+ (sqr (* 3 a)) 1))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ (* 3 a) 1))) (* (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ 1 (* 3 a))) (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (+ (* 3 a) (+ (sqr (* 3 a)) 1))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 78 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (356 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (- (* a a) (- a 1)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (sqr b))))))))) * [exit]simplify: Simplified to (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (- (* a a) (- a 1)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (sqr b))))))))) * * * * [misc]progress: [ 79 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a))) (* (- (* (- 1 a) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a))) (* (- (* (- 1 a) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 80 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (408 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (sqr (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (sqr (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 81 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (* (- 1 (* (* a 3) (* a 3))) (sqr b)) (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (* (- 1 (* (* a 3) (* a 3))) (sqr b)) (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))) * * * * [misc]progress: [ 82 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (sqr (+ 1 (* 3 a))) (* (* a a) (- 1 (* a a))))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- 1 a))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (sqr (+ 1 (* 3 a))) (* (* a a) (- 1 (* a a))))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- 1 a))))))) * * * * [misc]progress: [ 83 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (335 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (* (* a 3) (* a 3))) (sqr b))) (* (- 1 a) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* (* a 3) (* a 3))) (sqr b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (* (* a 3) (* a 3))) (sqr b))) (* (- 1 a) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* (* a 3) (* a 3))) (sqr b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))))) * * * * [misc]progress: [ 84 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (389 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* (sqr (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (* (+ 1 a) (* a a)) (sqr (+ 1 (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* (sqr (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (* (+ 1 a) (* a a)) (sqr (+ 1 (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 85 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3))))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (* (* (+ 1 a) (* a a)) (sqr b))) (- 1 (* (* a 3) (* a 3)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (* a 3) 1))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3))))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (* (* (+ 1 a) (* a a)) (sqr b))) (- 1 (* (* a 3) (* a 3)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (* a 3) 1))))) * * * * [misc]progress: [ 86 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (- 1 (* a 3)) (sqr b)) (* (sqr (+ (* a 3) 1)) (+ (* a a) (* (cube a) (* a a))))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (- 1 (* a 3)) (sqr b)) (* (sqr (+ (* a 3) 1)) (+ (* a a) (* (cube a) (* a a))))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1)))))) * * * * [misc]progress: [ 87 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (- 1 (* a 3)) (sqr b)) (* (sqr (+ (* a 3) 1)) (* (* a a) (- 1 (* a a))))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (* a 3) 1) (* (+ (* a 3) 1) (- 1 a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (- 1 (* a 3)) (sqr b)) (* (sqr (+ (* a 3) 1)) (* (* a a) (- 1 (* a a))))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (* a 3) 1) (* (+ (* a 3) 1) (- 1 a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * * * * [misc]progress: [ 88 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (* (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (+ (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* a 3)) (sqr b))) (* (+ 1 a) (* a a))))) (* (sqr (- (* a a) (- a 1))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (* (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (+ (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* a 3)) (sqr b))) (* (+ 1 a) (* a a))))) (* (sqr (- (* a a) (- a 1))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 89 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (- 1 (* a 3)) (sqr b)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (- 1 (* a 3)) (sqr b)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) * * * * [misc]progress: [ 90 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (395 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (sqr b)))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (sqr b)))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 91 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (+ (* (* a a) (cube a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (+ (* (* a a) (cube a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 92 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * * * * [misc]progress: [ 93 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) b))) b) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) b))) b) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (sqr (- 1 a))))) * * * * [misc]progress: [ 94 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (338 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (* (- 1 (* a a)) (* a a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (* (- 1 (* a a)) (* a a)))))) * * * * [misc]progress: [ 95 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (+ (* 3 a) 1) (* (sqr (* (- 1 (* a a)) (* a a))) (sqr (+ (+ (sqr (* 3 a)) (* 3 a)) 1)))) (* (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (+ (+ (sqr (* 3 a)) (* 3 a)) 1))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (+ (* 3 a) 1) (* (sqr (* (- 1 (* a a)) (* a a))) (sqr (+ (+ (sqr (* 3 a)) (* 3 a)) 1)))) (* (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (+ (+ (sqr (* 3 a)) (* 3 a)) 1))) (sqr (- 1 a))))) * * * * [misc]progress: [ 96 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (- (* a a) (- a 1)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (- 1 a)) (- (* (- (* a a) (- a 1)) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (* (* a a) (cube a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (- (* a a) (- a 1)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (- 1 a)) (- (* (- (* a a) (- a 1)) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (* (* a a) (cube a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * * * * [misc]progress: [ 97 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* (- 1 a) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* a a)) (* a a))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* (- 1 a) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* a a)) (* a a))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 98 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (389 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (sqr (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))) (* (- 1 (cube (* 3 a))) (sqr b))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (sqr (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))) (* (- 1 (cube (* 3 a))) (sqr b))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 99 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (339 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- 1 a)) (- (* (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (* a a) (cube a)) (* a a)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (sqr (* (- 1 (* a a)) (* a a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- 1 a)) (- (* (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (* a a) (cube a)) (* a a)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (sqr (* (- 1 (* a a)) (* a a)))))) * * * * [misc]progress: [ 100 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (+ 1 (* 3 a)) (* (- 1 a) (+ 1 (* 3 a)))) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (+ 1 (* 3 a)) (* (- 1 a) (+ 1 (* 3 a)))) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 101 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a)))) (* (* (- 1 a) (- 1 a)) (- (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (sqr (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* (* a 3) (* a 3))) (sqr b))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a)))) (* (* (- 1 a) (- 1 a)) (- (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (sqr (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* (* a 3) (* a 3))) (sqr b))))))) * * * * [misc]progress: [ 102 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))))) (sqr (- 1 a))))) * * * * [misc]progress: [ 103 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* a 3) 1))) (* (sqr (- 1 a)) (- (* (+ (* a 3) 1) (sqr (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (* (+ 1 a) (* a a)) (sqr b))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* a 3) 1))) (* (sqr (- 1 a)) (- (* (+ (* a 3) 1) (sqr (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (* (+ 1 a) (* a a)) (sqr b))))))) * * * * [misc]progress: [ 104 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (- 1 (* (* a 3) (* a 3))) (sqr b)) (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (* a 3)))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (- 1 (* (* a 3) (* a 3))) (sqr b)) (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (* a 3)))))))) * * * * [misc]progress: [ 105 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* a 3)) (sqr b))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (+ (* a 3) 1) (* (- 1 a) (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* a 3)) (sqr b))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (+ (* a 3) 1) (* (- 1 a) (+ (* a 3) 1)))))) * * * * [misc]progress: [ 106 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (* (- 1 (* a a)) (* a a)))) (+ (* (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (+ (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* a 3)) (sqr b))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (* (- 1 (* a a)) (* a a)))) (+ (* (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (+ (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* a 3)) (sqr b))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 107 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (- 1 a) (- 1 a)) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (* (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (sqr b)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (sqr (* (- 1 (* a a)) (* a a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (- 1 a) (- 1 a)) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (* (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (sqr b)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (sqr (* (- 1 (* a a)) (* a a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 108 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (cube (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (cube (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 109 / 2108 ] 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))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 110 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (+ (* a a) (* (cube a) (* a a)))) (sqr b))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (+ (* a a) (* (cube a) (* a a)))) (sqr b))))))) * * * * [misc]progress: [ 111 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))))) * * * * [misc]progress: [ 112 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)))) (* (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)))) (* (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 113 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* a a))) (sqr b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (* 3 a))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* a a))) (sqr b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (* 3 a))))))) * * * * [misc]progress: [ 114 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (368 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a))))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a))))))))) * * * * [misc]progress: [ 115 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ (* 3 a) 1))) (* (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ 1 (* 3 a))) (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (+ (* 3 a) (+ (sqr (* 3 a)) 1))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ (* 3 a) 1))) (* (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ 1 (* 3 a))) (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (+ (* 3 a) (+ (sqr (* 3 a)) 1))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 116 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (356 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (* (- a b) (+ a b)))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (sqr b))))))) (* (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (* (- a b) (+ a b)))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (sqr b))))))) (* (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 117 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a))) (* (- (* (- 1 a) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a))) (* (- (* (- 1 a) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 118 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (408 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (- (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (sqr (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (- (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (sqr (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 119 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (- (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (* (- 1 (* (* a 3) (* a 3))) (sqr b)) (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (- (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (* (- 1 (* (* a 3) (* a 3))) (sqr b)) (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))) * * * * [misc]progress: [ 120 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (sqr (+ 1 (* 3 a))) (* (* a a) (- 1 (* a a))))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- 1 a))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (sqr (+ 1 (* 3 a))) (* (* a a) (- 1 (* a a))))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- 1 a))))))) * * * * [misc]progress: [ 121 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (335 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (* (* a 3) (* a 3))) (sqr b))) (* (- 1 a) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* (* a 3) (* a 3))) (sqr b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (* (* a 3) (* a 3))) (sqr b))) (* (- 1 a) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* (* a 3) (* a 3))) (sqr b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))))) * * * * [misc]progress: [ 122 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (389 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* (sqr (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (* (+ 1 a) (* a a)) (sqr (+ 1 (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* (sqr (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (* (+ 1 a) (* a a)) (sqr (+ 1 (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 123 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3))))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (* (+ 1 a) (* a a)) (sqr b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (* a 3) 1))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3))))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (* (+ 1 a) (* a a)) (sqr b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (* a 3) 1))))) * * * * [misc]progress: [ 124 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (- 1 (* a 3)) (sqr b)) (* (sqr (+ (* a 3) 1)) (+ (* a a) (* (cube a) (* a a))))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (- 1 (* a 3)) (sqr b)) (* (sqr (+ (* a 3) 1)) (+ (* a a) (* (cube a) (* a a))))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1)))))) * * * * [misc]progress: [ 125 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (* (+ (* (* (* (+ (* a 3) 1) (- 1 a)) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (sqr (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (- 1 (* a 3))) (* (* (* a a) (- 1 (* a a))) (sqr b)))))) (sqr (- (* a a) (sqr b))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (* (+ (* (* (* (+ (* a 3) 1) (- 1 a)) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (sqr (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (- 1 (* a 3))) (* (* (* a a) (- 1 (* a a))) (sqr b)))))) (sqr (- (* a a) (sqr b))))) * * * * [misc]progress: [ 126 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (* (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (+ (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* a 3)) (sqr b))) (* (+ 1 a) (* a a))))) (* (sqr (- (* a a) (- a 1))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (* (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (+ (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* a 3)) (sqr b))) (* (+ 1 a) (* a a))))) (* (sqr (- (* a a) (- a 1))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 127 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (sqr (* (+ a b) (- a b))) (+ (* (* (* (- 1 (* a 3)) (sqr b)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (sqr (* (+ a b) (- a b))) (+ (* (* (* (- 1 (* a 3)) (sqr b)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 128 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (395 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (- (* a a) (sqr b)))) (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (sqr b)))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (- (* a a) (sqr b)))) (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (sqr b)))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 129 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (+ (* (* a a) (cube a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (+ (* (* a a) (cube a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 130 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (- 1 a) (- 1 a)) (- (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (- 1 a) (- 1 a)) (- (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * * * * [misc]progress: [ 131 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* a a))) (sqr b)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* a a))) (sqr b)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (sqr (- 1 a))))) * * * * [misc]progress: [ 132 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (338 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (* (- 1 (* a a)) (* a a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (* (- 1 (* a a)) (* a a)))))) * * * * [misc]progress: [ 133 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (+ (* 3 a) 1) (* (sqr (* (- 1 (* a a)) (* a a))) (sqr (+ (+ (sqr (* 3 a)) (* 3 a)) 1)))) (* (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (+ (* 3 a) 1) (* (sqr (* (- 1 (* a a)) (* a a))) (sqr (+ (+ (sqr (* 3 a)) (* 3 a)) 1)))) (* (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (sqr (- 1 a))))) * * * * [misc]progress: [ 134 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (- (* a a) (- a 1)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (- 1 a)) (- (* (- (* a a) (- a 1)) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (* (* a a) (cube a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (* (- (* a a) (- a 1)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (- 1 a)) (- (* (- (* a a) (- a 1)) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (+ (* (* a a) (cube a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * * * * [misc]progress: [ 135 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (* (- 1 a) (sqr (* (- 1 (* a a)) (* a a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* (- 1 a) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* a a)) (* a a))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (* (- 1 a) (sqr (* (- 1 (* a a)) (* a a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* (- 1 a) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* a a)) (* a a))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 136 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (389 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (* (- a b) (+ a b)))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (sqr (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))) (* (- 1 (cube (* 3 a))) (sqr b))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (sqr (* (- a b) (+ a b)))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (sqr (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))) (* (- 1 (cube (* 3 a))) (sqr b))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 137 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (339 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (sqr (- 1 a)) (- (* (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (* a a) (cube a)) (* a a)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (sqr (* (- 1 (* a a)) (* a a)))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (- a b) (+ a b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (sqr (- 1 a)) (- (* (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (sqr b) (- 1 (* (* a 3) (* a 3)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (* a a) (cube a)) (* a a)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (sqr (* (- 1 (* a a)) (* a a)))))) * * * * [misc]progress: [ 138 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (* (* (+ 1 (* 3 a)) (* (- 1 a) (+ 1 (* 3 a)))) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 (cube (* 3 a)))) (* (- 1 (* a a)) (* (* a a) (sqr b))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (- a b) (+ a b)))) (+ (* (* (* (+ 1 (* 3 a)) (* (- 1 a) (+ 1 (* 3 a)))) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 (cube (* 3 a)))) (* (- 1 (* a a)) (* (* a a) (sqr b))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 139 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a)))) (* (* (- 1 a) (- 1 a)) (- (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (sqr (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* (* a 3) (* a 3))) (sqr b))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (* (+ a b) (- a b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a)))) (* (* (- 1 a) (- 1 a)) (- (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (sqr (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* (* a 3) (* a 3))) (sqr b))))))) * * * * [misc]progress: [ 140 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (- 1 (* a a)) (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (sqr (- (* a a) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (- 1 (* a a)) (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))))) (sqr (- 1 a))))) * * * * [misc]progress: [ 141 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* a 3) 1))) (* (sqr (- 1 a)) (- (* (+ (* a 3) 1) (sqr (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (* (+ 1 a) (* a a)) (sqr b))) (- 1 (* (* a 3) (* a 3)))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (* (+ a b) (- a b)))) (+ (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* a 3) 1))) (* (sqr (- 1 a)) (- (* (+ (* a 3) 1) (sqr (* (sqr b) (- 1 (* (* a 3) (* a 3)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (* (+ 1 a) (* a a)) (sqr b))) (- 1 (* (* a 3) (* a 3)))))))) * * * * [misc]progress: [ 142 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (- 1 (* (* a 3) (* a 3))) (sqr b)) (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (* a 3)))))))) * [exit]simplify: Simplified to (/ (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (sqr (- (* a a) (sqr b)))) (+ (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (- 1 (* (* a 3) (* a 3))) (sqr b)) (* (- 1 (* (* a 3) (* a 3))) (sqr b)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (* a 3)))))))) * * * * [misc]progress: [ 143 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (sqr (* (+ a b) (- a b))) (+ (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* a 3) 1) (* (- 1 a) (+ (* a 3) 1)))) (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* a 3)) (sqr b)))))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (sqr (* (+ a b) (- a b))) (+ (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* a 3) 1) (* (- 1 a) (+ (* a 3) 1)))) (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* a 3)) (sqr b)))))))) * * * * [misc]progress: [ 144 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (- (* a a) (sqr b))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (* a a) (sqr b))) (* (- 1 (* a a)) (* a a))) (* (- 1 (* a a)) (* a a))) (+ (* (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (+ (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* a 3)) (sqr b))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (- (* a a) (sqr b))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (* a a) (sqr b))) (* (- 1 (* a a)) (* a a))) (* (- 1 (* a a)) (* a a))) (+ (* (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (+ (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* a 3)) (sqr b))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 145 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (- 1 a) (- 1 a)) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (* (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (sqr b)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (sqr (* (- 1 (* a a)) (* a a))))) (sqr (* (- a b) (+ a b))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (- 1 a) (- 1 a)) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b)))) (* (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (sqr b)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (sqr (* (- 1 (* a a)) (* a a))))) (sqr (* (- a b) (+ a b))))) * * * * [misc]progress: [ 146 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (* (sqr (* (- a b) (+ a b))) (+ (cube (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) (* (sqr (* (- a b) (+ a b))) (+ (cube (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 147 / 2108 ] 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))))) (* (sqr (- (sqr a) (sqr b))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (324 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) (* (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) (* (* (sqr (- (* a a) (sqr b))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 148 / 2108 ] 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))))) (* (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)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (sqr (- (cube (* a a)) (cube (sqr b)))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (sqr (- (cube (* a a)) (cube (sqr b)))))) * * * * [misc]progress: [ 149 / 2108 ] 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))))) (* (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)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (/ (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 150 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 151 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (51 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (+ (+ (* a a) (- 1 a)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (+ (+ (* a a) (- 1 a)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 152 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 153 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 154 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (361 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 155 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 156 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 157 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 158 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * * [misc]simplify: iters left: 4 (370 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 159 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (52 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (* 3 a)))) (sqr (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (* 3 a)))) (sqr (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 160 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (sqr (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (sqr (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 161 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (* 3 a)))) (sqr (+ (* a a) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (* 3 a)))) (sqr (+ (* a a) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 162 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (341 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (* 3 a)))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (* 3 a)))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 163 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 164 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (sqr (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (sqr (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 165 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (sqr (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (sqr (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 166 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (354 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 167 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (52 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (sqr (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (sqr (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 168 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (341 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a)))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a)))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 169 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a))) (sqr (+ (* a a) (- 1 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a))) (sqr (+ (* a a) (- 1 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 170 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (sqr (- (* a a) (- a 1)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (sqr (- (* a a) (- a 1)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 171 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (- (* a a) (- a 1))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (- (* a a) (- a 1))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 172 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 173 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 174 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (363 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (+ (* a a) (- 1 a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (+ (* a a) (- 1 a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 175 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (53 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 176 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (sqr (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* (- 1 a) (* 3 a)) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (sqr (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* (- 1 a) (* 3 a)) (- 1 a)))))) * * * * [misc]progress: [ 177 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ (* (* 3 a) (- 1 a)) (- 1 a))))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ (* (* 3 a) (- 1 a)) (- 1 a))))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 178 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (+ (* a a) (- 1 a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (+ (* a a) (- 1 a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 179 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 180 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) * * * * [misc]progress: [ 181 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* b b) (* a a)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* b b) (* a a)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 182 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (369 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 183 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (50 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) * * * * [misc]progress: [ 184 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (355 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 185 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 186 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (* (* (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (+ (* a a) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (+ (* a a) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 187 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 188 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (46 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (* a a) (- 1 a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (* a a) (- 1 a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 189 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (* (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (* a a) (- 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (* a a) (- 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 190 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (+ (* 3 a) 1))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (sqr (- (* a a) (- a 1)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (+ (* 3 a) 1))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (sqr (- (* a a) (- a 1)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 191 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 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 (51 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 192 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (+ (* 3 a) 1))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (+ (* a a) (- 1 a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (+ (* 3 a) 1))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (+ (* a a) (- 1 a)))))))) * * * * [misc]progress: [ 193 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1))) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1))) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 194 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (sqr (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (sqr (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 195 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 196 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 197 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 198 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 199 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (+ (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 (50 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (- (* a a) (- a 1)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (- (* a a) (- a 1)))) * * * * [misc]progress: [ 200 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (348 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (* a a) (- a 1)) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (* a a) (- a 1)) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 201 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (- (* a a) (- a 1))) (sqr (- (* a a) (- a 1))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (- (* a a) (- a 1))) (sqr (- (* a a) (- a 1))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 202 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (* a a) (- 1 a))) (sqr (+ (* a a) (- 1 a))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (* a a) (- 1 a))) (sqr (+ (* a a) (- 1 a))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 203 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* a a) (- 1 a))))) * * * * [misc]progress: [ 204 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 205 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (* a a) (- 1 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* a a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (* a a) (- 1 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* a a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 206 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (sqr (+ (* a a) (- 1 a)))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (sqr (+ (* a a) (- 1 a)))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))))) * * * * [misc]progress: [ 207 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 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 (51 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (sqr (+ (* a a) (- 1 a)))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (sqr (+ (* a a) (- 1 a)))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 208 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (- 1 a)) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (- 1 a)) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 209 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (sqr (+ (* a a) (- 1 a)))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (sqr (+ (* a a) (- 1 a)))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 210 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (+ (* a a) (- 1 a))) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (+ (* a a) (- 1 a))) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 211 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- 1 a) (sqr (+ (* a a) (- 1 a)))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- 1 a) (sqr (+ (* a a) (- 1 a)))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 212 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (- 1 a)) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (- 1 a)) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 213 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 214 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * * [misc]simplify: iters left: 4 (397 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 215 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (52 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (342 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 216 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (383 enodes) * [exit]simplify: Simplified to (* (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (sqr (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (sqr (- (* a a) (- a 1))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (sqr (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (sqr (- (* a a) (- a 1))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 217 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (sqr (+ 1 (* 3 a))) (sqr (- (* a a) (- a 1))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (sqr (+ 1 (* 3 a))) (sqr (- (* a a) (- a 1))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 218 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (368 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (sqr (+ 1 (* 3 a))) (sqr (- (* a a) (- a 1))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (sqr (+ 1 (* 3 a))) (sqr (- (* a a) (- a 1))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 219 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 220 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ (* a a) (- 1 a))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ (* a a) (- 1 a))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 221 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (sqr (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (sqr (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 222 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 223 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (48 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 224 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (+ (* a a) (- 1 a))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)))) (sqr (+ (* b b) (* a a))))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (+ (* a a) (- 1 a))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)))) (sqr (+ (* b b) (* a a))))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 225 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (sqr (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (sqr (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 226 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 227 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (- (* a a) (- a 1))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (- (* a a) (- a 1))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 228 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* a a) (- 1 a))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* a a) (- 1 a))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 229 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 230 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- (* a a) (- a 1))) (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- (* a a) (- a 1))) (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 231 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (53 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (- 1 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (- 1 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 232 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (348 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (- 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (- 1 a))))))) * * * * [misc]progress: [ 233 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- (* a a) (- a 1))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (+ (* 3 a) 1)) (- 1 a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- (* a a) (- a 1))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (+ (* 3 a) 1)) (- 1 a))))))) * * * * [misc]progress: [ 234 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (+ (* 3 a) 1)) (- 1 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (+ (* 3 a) 1)) (- 1 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 235 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))))))) * * * * [misc]progress: [ 236 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 237 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- (* a a) (- a 1))) (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- (* a a) (- a 1))) (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 238 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (+ (* a 3) 1) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (+ (* a 3) 1) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 239 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (* a 3) 1) (- 1 a)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (* a 3) 1) (- 1 a)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 240 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (310 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* a 3) 1))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* a 3) 1))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 241 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 242 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (+ (- 1 a) (* (* a 3) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (+ (- 1 a) (* (* a 3) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 243 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (+ (* a 3) 1) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (+ (* a 3) 1) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 244 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (+ (* a 3) 1) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (+ (* a 3) 1) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 245 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ (* a 3) 1) (- 1 a)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ (* a 3) 1) (- 1 a)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 246 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (377 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 247 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (51 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 248 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a)))))))) * * * * [misc]progress: [ 249 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a)))) (+ (+ (sqr (* 3 a)) (* 3 a)) 1)) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 250 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 251 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 252 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 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 (47 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 253 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * * * * [misc]progress: [ 254 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (sqr (- (* a a) (- a 1))) (cube (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (sqr (- (* a a) (- a 1))) (cube (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))))) * * * * [misc]progress: [ 255 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 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 (47 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* a a) (- 1 a))) (cube (+ (* a 3) 1))) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* a a) (- 1 a))) (cube (+ (* a 3) 1))) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 256 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (sqr (- (* a a) (- a 1))) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (sqr (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (sqr (- (* a a) (- a 1))) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (sqr (+ (* b b) (* a a))))) * * * * [misc]progress: [ 257 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (sqr (+ (* a a) (- 1 a))) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (sqr (+ (* a a) (- 1 a))) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 258 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 259 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (sqr (- (* a a) (- a 1))) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (sqr (- (* a a) (- a 1))) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 260 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (sqr (- (* a a) (- a 1))) (cube (+ (* a 3) 1))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (sqr (- (* a a) (- a 1))) (cube (+ (* a 3) 1))))) * * * * [misc]progress: [ 261 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (sqr (- (* a a) (- a 1))) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (sqr (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (sqr (- (* a a) (- a 1))) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (sqr (+ (* b b) (* a a)))) * * * * [misc]progress: [ 262 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* a 3) 1))) (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* a 3) 1))) (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 263 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (47 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (* (* (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (* (* (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 264 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- (* a a) (- a 1)) (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (sqr (+ (* b b) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- (* a a) (- a 1)) (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (sqr (+ (* b b) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 265 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (sqr (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))) (+ (* a a) (- 1 a))) (sqr (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (sqr (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))) (+ (* a a) (- 1 a))) (sqr (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 266 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 267 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 268 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (- (* a a) (- a 1)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (- (* a a) (- a 1)))) * * * * [misc]progress: [ 269 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (- (* a a) (- a 1)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (- (* a a) (- a 1)))) * * * * [misc]progress: [ 270 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 a) (sqr (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 a) (sqr (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 271 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 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 (48 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (- 1 a)) (sqr (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (- 1 a)) (sqr (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 272 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (- (* a a) (- a 1))) (- 1 a)) (sqr (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (- (* a a) (- a 1))) (- 1 a)) (sqr (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* b b) (* a a))))) * * * * [misc]progress: [ 273 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (* a 3) 1))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (* a 3) 1))))) * * * * [misc]progress: [ 274 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (* (sqr (+ (* a a) (- 1 a))) (- 1 a)) (sqr (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (* (sqr (+ (* a a) (- 1 a))) (- 1 a)) (sqr (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 275 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (- (* a a) (- a 1))) (* (- 1 a) (sqr (+ (* a 3) 1))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (- (* a a) (- a 1))) (* (- 1 a) (sqr (+ (* a 3) 1))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 276 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (+ (* a a) (- 1 a))) (* (+ (* a 3) 1) (* (- 1 a) (+ (* a 3) 1)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (+ (* a a) (- 1 a))) (* (+ (* a 3) 1) (* (- 1 a) (+ (* a 3) 1)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 277 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (+ (* b b) (* a a))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 a) (+ (* a 3) 1))) (+ (* a 3) 1))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (+ (* b b) (* a a))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 a) (+ (* a 3) 1))) (+ (* a 3) 1))))) * * * * [misc]progress: [ 278 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- (* a a) (- a 1))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (- (* a a) (- a 1))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 279 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (- 1 a))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (- 1 a))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 280 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 281 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 282 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 283 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (+ (* a a) (- 1 a))))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (+ (* a a) (- 1 a))))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))))) * * * * [misc]progress: [ 284 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (45 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (sqr (- (* a a) (- a 1)))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (sqr (- (* a a) (- a 1)))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))))) * * * * [misc]progress: [ 285 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (sqr (- (* a a) (- a 1))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (sqr (- (* a a) (- a 1))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))))) * * * * [misc]progress: [ 286 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 287 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 288 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (* b b) (* a a)) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (* b b) (* a a)) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 289 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 290 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 291 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 292 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (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 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 293 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 294 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a)))) (* (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a)))) (* (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 295 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (52 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 296 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (373 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (sqr (+ (* b b) (* a a))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (sqr (+ (* b b) (* a a))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 297 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 298 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * * * * [misc]progress: [ 299 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) * * * * [misc]progress: [ 300 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 301 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) * * * * [misc]progress: [ 302 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (* 3 a)))) (* (- 1 a) (- 1 a))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (* 3 a)))) (* (- 1 a) (- 1 a))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 303 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (53 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 304 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (sqr (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (sqr (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 305 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 306 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 307 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 308 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 309 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* b b) (* a a)))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* b b) (* a a)))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 310 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 311 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (49 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 312 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 313 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 314 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 315 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 316 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (- 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)))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (- 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)))) * * * * [misc]progress: [ 317 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 318 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))))) * * * * [misc]progress: [ 319 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* 3 a) 1) (- 1 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* 3 a) 1) (- 1 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 320 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 321 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (* 3 a) 1) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))) (* (- 1 a) (- 1 a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (* 3 a) 1) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))) (* (- 1 a) (- 1 a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 322 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (sqr (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (sqr (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 323 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (- 1 a))) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (- 1 a))) (- 1 a)))) * * * * [misc]progress: [ 324 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (* 3 a) 1) (* (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (* 3 a) 1) (* (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) * * * * [misc]progress: [ 325 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a))) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a))) (+ (* 3 a) 1))) * * * * [misc]progress: [ 326 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 327 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (48 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 328 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 329 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 330 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (* (* (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 331 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 332 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (44 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) * * * * [misc]progress: [ 333 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 334 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 335 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 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 (49 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 336 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (* 3 a) 1) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (* 3 a) 1) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 337 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 338 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)))) (* (- 1 a) (- 1 a))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)))) (* (- 1 a) (- 1 a))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 339 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* 3 a) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* 3 a) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 340 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)))))))) * * * * [misc]progress: [ 341 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))) (* (* (+ (* 3 a) 1) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))) (* (* (+ (* 3 a) 1) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 342 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 343 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 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 (51 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1)))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1)))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 344 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (- 1 a) (- 1 a)) (* (- (* a a) (- a 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (- 1 a) (- 1 a)) (* (- (* a a) (- a 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 345 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* a a) (- 1 a)))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* a a) (- 1 a)))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 346 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 347 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* a a) (- 1 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* a a) (- 1 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 348 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 349 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 350 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 351 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 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 (48 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 352 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 353 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 354 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 355 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)))))) * * * * [misc]progress: [ 356 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) * * * * [misc]progress: [ 357 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (sqr (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (sqr (+ (* b b) (* a a)))) * * * * [misc]progress: [ 358 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 359 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (53 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1))) (* (- 1 a) (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1))) (* (- 1 a) (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 360 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 361 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a)))) (* (- 1 a) (- 1 a))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a)))) (* (- 1 a) (- 1 a))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 362 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (* (- 1 a) (- 1 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (* (- 1 a) (- 1 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 363 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 364 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 365 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* b b) (* a a)))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* b b) (* a a)))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 366 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (+ (* a 3) 1)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (+ (* a 3) 1)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 367 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 368 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 369 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 370 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 371 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 372 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (* (- 1 a) (- 1 a)))) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (* (- 1 a) (- 1 a)))) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 373 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 374 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (335 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 375 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 376 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 377 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (- 1 a) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (- 1 a) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 378 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 379 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 380 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 381 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (* (* (* (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * * * * [misc]progress: [ 382 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- 1 a)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- 1 a) (* (- 1 a) (* a 3)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- 1 a)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- 1 a) (* (- 1 a) (* a 3)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 383 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 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 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * * * * [misc]progress: [ 384 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (* (sqr (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (* (sqr (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 385 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 386 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (- 1 a)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (* a 3) (- 1 a)) (- 1 a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (- 1 a)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (* a 3) (- 1 a)) (- 1 a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 387 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (- 1 a) (* (* a 3) (- 1 a))) (* (* (- 1 a) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (- 1 a) (* (* a 3) (- 1 a))) (* (* (- 1 a) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))))) * * * * [misc]progress: [ 388 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 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 (109 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (- 1 a) (- 1 a)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (- 1 a) (- 1 a)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a)))))) * * * * [misc]progress: [ 389 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* b b) (* a a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* a 3) 1) (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* b b) (* a a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* a 3) 1) (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))))) * * * * [misc]progress: [ 390 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (340 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 391 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (49 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 392 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 393 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) * * * * [misc]progress: [ 394 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 395 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 396 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 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 (45 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * * * * [misc]progress: [ 397 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 398 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 399 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 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 (44 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 400 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 401 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 402 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 403 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (- (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 (103 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 404 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 405 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) * * * * [misc]progress: [ 406 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (+ (* a 3) 1) (+ (* a a) (- 1 a))) (+ (* a 3) 1)) (* (- 1 a) (- 1 a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (+ (* a 3) 1) (+ (* a a) (- 1 a))) (+ (* a 3) 1)) (* (- 1 a) (- 1 a))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 407 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (48 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (- 1 a)) (* (* (- 1 a) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (- 1 a)) (* (* (- 1 a) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 408 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (sqr (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (sqr (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 409 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1))) (sqr (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1))) (sqr (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 410 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- 1 a) (- 1 a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 411 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1)) (* (- 1 a) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1)) (* (- 1 a) (- 1 a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 412 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 413 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (sqr (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (sqr (+ (* b b) (* a a)))))))) * * * * [misc]progress: [ 414 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 415 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 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 (44 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 416 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 417 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 418 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 419 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (- (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 (97 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- 1 a)) (* (* (- 1 a) (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- 1 a)) (* (* (- 1 a) (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))))) * * * * [misc]progress: [ 420 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 421 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 422 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- 1 a) (- 1 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- 1 a) (- 1 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 423 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))))) * * * * [misc]progress: [ 424 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 425 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 426 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))))) * * * * [misc]progress: [ 427 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (- 1 a) (- 1 a)) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (- 1 a) (- 1 a)) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 428 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (42 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 429 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 430 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))))) * * * * [misc]progress: [ 431 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 432 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 433 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 434 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 435 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 436 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 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 (38 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 437 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 438 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 439 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (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 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 440 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 441 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 442 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 443 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (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 (102 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 444 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (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 (39 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 445 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 446 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))) (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))) (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * * * * [misc]progress: [ 447 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (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 (39 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 448 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 449 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 450 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (104 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 451 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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))))))) (- (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 (88 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 452 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 453 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (sqr (+ (* (sqr (* a a)) (+ (sqr (* a a)) (sqr (* b b)))) (sqr (sqr (* b b))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (sqr (+ (* (sqr (* a a)) (+ (sqr (* a a)) (sqr (* b b)))) (sqr (sqr (* b b))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 454 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (373 enodes) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * * * * [misc]progress: [ 455 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 456 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (338 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 457 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (310 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * * * * [misc]progress: [ 458 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 459 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 460 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 461 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (sqr (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (sqr (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 462 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 463 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (48 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 464 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))))) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))))) * * * * [misc]progress: [ 465 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (sqr (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (sqr (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 466 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (* 3 a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (* 3 a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 467 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 468 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 469 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (sqr (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (sqr (+ (* b b) (* a a)))) * * * * [misc]progress: [ 470 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 471 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (48 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 472 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))))) * * * * [misc]progress: [ 473 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (sqr (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (sqr (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 474 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 475 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 476 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 477 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (sqr (+ (* b b) (* a a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (sqr (+ (* b b) (* a a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * * * * [misc]progress: [ 478 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * * * * [misc]progress: [ 479 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (49 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))))) * * * * [misc]progress: [ 480 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (+ (* (- 1 a) (* 3 a)) (- 1 a)))))) * * * * [misc]progress: [ 481 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* 3 a) 1)) (* (- 1 a) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* 3 a) 1)) (* (- 1 a) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * * * * [misc]progress: [ 482 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 483 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 484 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))))) * * * * [misc]progress: [ 485 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * * * * [misc]progress: [ 486 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 487 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (46 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 488 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 489 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 490 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 491 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 492 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (sqr (* b b)) (sqr (* a a))) (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (sqr (* b b)) (sqr (* a a))) (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))))) * * * * [misc]progress: [ 493 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 494 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 495 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 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 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (* 3 a) 1)) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (* 3 a) 1)) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 496 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)))) (* (sqr (+ (* b b) (* a a))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)))) (* (sqr (+ (* b b) (* a a))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 497 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (* 3 a) 1)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (* 3 a) 1)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * * * * [misc]progress: [ 498 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* 3 a) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* 3 a) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 499 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 500 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 501 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (* 3 a) 1)) (* (* (* (sqr (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (* 3 a) 1)) (* (* (* (sqr (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 502 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))))) * * * * [misc]progress: [ 503 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (+ (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 (46 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (- (* a a) (- a 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (- (* a a) (- a 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 504 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (- (* a a) (- a 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (- (* a a) (- a 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 505 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 506 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))))) * * * * [misc]progress: [ 507 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 508 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))))) * * * * [misc]progress: [ 509 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 510 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 511 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 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 (47 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 512 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * * * * [misc]progress: [ 513 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 514 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 515 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * * * * [misc]progress: [ 516 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 517 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 518 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (369 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 519 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (48 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 520 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 521 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (* 3 a) 1) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (* 3 a) 1) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 522 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * * * * [misc]progress: [ 523 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 524 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 525 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 526 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (307 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (sqr (* b b)) (sqr (* a a))))) (+ (sqr (* b b)) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (sqr (* b b)) (sqr (* a a))))) (+ (sqr (* b b)) (sqr (* a a)))))) * * * * [misc]progress: [ 527 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (44 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (sqr (* b b)) (sqr (* a a))))) (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (sqr (* b b)) (sqr (* a a))))) (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 528 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 529 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* b b)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* b b)) (sqr (* a a)))))))) * * * * [misc]progress: [ 530 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (sqr (* b b)) (sqr (* a a))))) (+ (sqr (* b b)) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (sqr (* b b)) (sqr (* a a))))) (+ (sqr (* b b)) (sqr (* a a)))))) * * * * [misc]progress: [ 531 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (- (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 (104 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 532 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) * * * * [misc]progress: [ 533 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))))) * * * * [misc]progress: [ 534 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)))))) * * * * [misc]progress: [ 535 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (49 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (- 1 a) (+ 1 (* 3 a))) (+ 1 (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (- 1 a) (+ 1 (* 3 a))) (+ 1 (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 536 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 537 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 538 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 539 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (- 1 a))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (- 1 a))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 540 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a))))) * * * * [misc]progress: [ 541 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) * * * * [misc]progress: [ 542 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (- 1 a) (* (* a 3) (- 1 a))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (- 1 a) (* (* a 3) (- 1 a))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 543 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * * * * [misc]progress: [ 544 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* b b) (* a a))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (+ (- 1 a) (* (- 1 a) (* a 3)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* b b) (* a a))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (+ (- 1 a) (* (- 1 a) (* a 3)))))) * * * * [misc]progress: [ 545 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [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 (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 546 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (- 1 a) (* (- 1 a) (* a 3))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (- 1 a) (* (- 1 a) (* a 3))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 547 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 548 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (* (+ (* a 3) 1) (+ (* a 3) 1))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 549 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (- 1 a) (* (- 1 a) (* a 3))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (* (sqr (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (- 1 a) (* (- 1 a) (* a 3))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (* (sqr (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))))) * * * * [misc]progress: [ 550 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (343 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 551 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 552 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))))) (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))))) (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 553 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * * * * [misc]progress: [ 554 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 555 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))))) * * * * [misc]progress: [ 556 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 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 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * * * * [misc]progress: [ 557 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (sqr (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (sqr (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 558 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 559 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 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 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1)))))) * * * * [misc]progress: [ 560 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1))))))) * * * * [misc]progress: [ 561 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 562 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1)))))) * * * * [misc]progress: [ 563 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (- (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 (101 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 564 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 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 (104 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1)))))) * * * * [misc]progress: [ 565 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* a 3) 1))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 566 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 567 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 568 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))))))) * * * * [misc]progress: [ 569 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 570 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 571 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (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 (101 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))))) * * * * [misc]progress: [ 572 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))))) * * * * [misc]progress: [ 573 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * * * * [misc]progress: [ 574 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (- 1 a))) (+ (* a 3) 1)) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (- 1 a))) (+ (* a 3) 1)) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 575 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 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 (44 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (- 1 a))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (- 1 a))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 576 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a 3) 1) (* (+ (* a 3) 1) (- 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a 3) 1) (* (+ (* a 3) 1) (- 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * * * * [misc]progress: [ 577 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* a 3) 1) (* (+ (* a 3) 1) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* a 3) 1) (* (+ (* a 3) 1) (- 1 a)))))) * * * * [misc]progress: [ 578 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (- 1 a)))) * * * * [misc]progress: [ 579 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (- (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 (96 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ (sqr (* b b)) (sqr (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 a)))) (+ (sqr (* b b)) (sqr (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ (sqr (* b b)) (sqr (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 a)))) (+ (sqr (* b b)) (sqr (* a a))))) * * * * [misc]progress: [ 580 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- 1 a))) (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- 1 a))) (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 581 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* a 3) 1) (+ (* a 3) 1))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* a 3) 1) (+ (* a 3) 1))))) * * * * [misc]progress: [ 582 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 583 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 584 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * * * * [misc]progress: [ 585 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 586 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 587 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 588 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (41 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * * * * [misc]progress: [ 589 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (+ (* b b) (* a a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (+ (* b b) (* a a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))))) * * * * [misc]progress: [ 590 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 591 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 592 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 593 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (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 (103 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 594 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 595 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 596 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (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 (99 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 597 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 598 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (359 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 599 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (48 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a 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 (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a 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 (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 600 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * * * * [misc]progress: [ 601 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 602 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 603 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * * * * [misc]progress: [ 604 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 605 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (- (* a 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 (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (- (* a 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 (+ (* b b) (* a a)))) * * * * [misc]progress: [ 606 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * * * * [misc]progress: [ 607 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (49 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 608 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 609 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 610 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ (* 3 a) 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ (* 3 a) 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 611 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 612 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))))) * * * * [misc]progress: [ 613 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (- 1 a) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (- 1 a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (- 1 a) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (- 1 a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * * * * [misc]progress: [ 614 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 615 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (45 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a 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)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a 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)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * * * * [misc]progress: [ 616 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a 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))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a 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))))) * * * * [misc]progress: [ 617 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * * * * [misc]progress: [ 618 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 619 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a 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))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a 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))))) * * * * [misc]progress: [ 620 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a 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)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a 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)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 621 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))) (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))) (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))))) * * * * [misc]progress: [ 622 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 623 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 624 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 625 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) * * * * [misc]progress: [ 626 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* 3 a) 1) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* 3 a) 1) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 627 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 628 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* 3 a) 1) (- 1 a))) (* (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* 3 a) 1) (- 1 a))) (* (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))))) * * * * [misc]progress: [ 629 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))))) * * * * [misc]progress: [ 630 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 631 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (44 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 632 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 633 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))))) * * * * [misc]progress: [ 634 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))))) * * * * [misc]progress: [ 635 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (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 (103 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 636 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (40 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))))) * * * * [misc]progress: [ 637 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- 1 a))))) * * * * [misc]progress: [ 638 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (* 3 a) 1) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (* 3 a) 1) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 639 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 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 (45 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 640 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* 3 a) 1)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* 3 a) 1)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 641 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* 3 a) 1)))))) * * * * [misc]progress: [ 642 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* 3 a) 1))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* 3 a) 1))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 643 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 644 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 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 (108 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (+ (* 3 a) 1) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (+ (* 3 a) 1) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 645 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 646 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 647 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 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 (47 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) * * * * [misc]progress: [ 648 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (- (* a a) (- a 1)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (* (sqr (+ (* b b) (* a a))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (- (* a a) (- a 1)) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) (* (sqr (+ (* b b) (* a a))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 649 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * * * * [misc]progress: [ 650 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 651 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * * * * [misc]progress: [ 652 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * * * * [misc]progress: [ 653 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 654 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 655 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 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 (44 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (- 1 a) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (- 1 a) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))))) * * * * [misc]progress: [ 656 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (- 1 a) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (- 1 a) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * * * * [misc]progress: [ 657 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- 1 a) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- 1 a) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 658 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (- 1 a) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (- 1 a) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * * * * [misc]progress: [ 659 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (- (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 (97 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (- 1 a) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (- 1 a) (sqr (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * * * * [misc]progress: [ 660 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 661 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * * * * [misc]progress: [ 662 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (343 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a))))))) * * * * [misc]progress: [ 663 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (49 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 664 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (340 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 665 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (+ (- (* a a) (- a 1)) (* (+ (sqr (* 3 a)) (* 3 a)) (- (* a a) (- a 1)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (+ (- (* a a) (- a 1)) (* (+ (sqr (* 3 a)) (* 3 a)) (- (* a a) (- a 1)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 666 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (309 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 667 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 668 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (sqr (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 669 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))))))) * * * * [misc]progress: [ 670 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 671 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (- 1 a)) (* (sqr (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (- 1 a)) (* (sqr (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * * * * [misc]progress: [ 672 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (sqr (- 1 a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (sqr (- 1 a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 673 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (sqr (- 1 a))))) * * * * [misc]progress: [ 674 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 675 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (sqr (- 1 a)) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (sqr (- 1 a)) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * * * * [misc]progress: [ 676 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 677 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (sqr (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (sqr (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 678 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 679 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * * * * [misc]progress: [ 680 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 681 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 682 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * * * * [misc]progress: [ 683 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 684 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))))) * * * * [misc]progress: [ 685 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * * * * [misc]progress: [ 686 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* a 3) 1))) (+ (* (* a 3) (- 1 a)) (- 1 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* a 3) 1))) (+ (* (* a 3) (- 1 a)) (- 1 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))))) * * * * [misc]progress: [ 687 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 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 (41 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a))))) (+ (* a 3) 1))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a))))) (+ (* a 3) 1))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 688 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (sqr (+ (* a 3) 1)) (+ (* (* a 3) (- 1 a)) (- 1 a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (sqr (+ (* a 3) 1)) (+ (* (* a 3) (- 1 a)) (- 1 a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 689 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (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 (103 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (* a 3) 1)) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (* a 3) 1)) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 690 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (sqr (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (sqr (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 691 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (- 1 a) (* (sqr (+ (* a 3) 1)) (* (+ (* a 3) 1) (* (- 1 a) (- 1 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (- 1 a) (* (sqr (+ (* a 3) 1)) (* (+ (* a 3) 1) (* (- 1 a) (- 1 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 692 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 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 (99 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 693 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (- 1 a)) (* (sqr (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (- 1 a)) (* (sqr (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))))) * * * * [misc]progress: [ 694 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (sqr (+ (* 3 a) 1)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (sqr (+ (* 3 a) 1)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 695 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (45 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (sqr (+ (* 3 a) 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (sqr (+ (* 3 a) 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * * * * [misc]progress: [ 696 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (* b b) (* a a)) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (* b b) (* a a)) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 697 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (sqr (+ (* 3 a) 1))) (sqr (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (sqr (+ (* 3 a) 1))) (sqr (+ (* 3 a) 1)))))) * * * * [misc]progress: [ 698 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (sqr (+ (* 3 a) 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 699 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 700 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 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 (108 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (+ (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (sqr (+ (* 3 a) 1)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (+ (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (sqr (+ (* 3 a) 1)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 701 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 702 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (cube (+ (* a 3) 1)) (sqr (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (cube (+ (* a 3) 1)) (sqr (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 703 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 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 (40 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (cube (+ (* a 3) 1)) (sqr (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (cube (+ (* a 3) 1)) (sqr (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * * * * [misc]progress: [ 704 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (cube (+ (* a 3) 1)) (sqr (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (cube (+ (* a 3) 1)) (sqr (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 705 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (100 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (cube (+ (* a 3) 1)) (sqr (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (sqr (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (cube (+ (* a 3) 1)) (sqr (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (sqr (+ (* b b) (* a a))))) * * * * [misc]progress: [ 706 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (110 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (cube (+ (* a 3) 1)) (sqr (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (cube (+ (* a 3) 1)) (sqr (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 707 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (- (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 (94 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (* (* (cube (+ (* a 3) 1)) (sqr (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (* (* (cube (+ (* a 3) 1)) (sqr (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 708 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (* (cube (+ (* a 3) 1)) (sqr (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (* (cube (+ (* a 3) 1)) (sqr (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 709 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (sqr (- 1 a)) (* (cube (+ (* a 3) 1)) (sqr (+ (* b b) (* a a)))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (sqr (- 1 a)) (* (cube (+ (* a 3) 1)) (sqr (+ (* b b) (* a a)))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 710 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 711 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (44 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (* (sqr (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (sqr (- 1 a)) (+ (sqr (* b b)) (sqr (* a a))))) (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (* (sqr (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (sqr (- 1 a)) (+ (sqr (* b b)) (sqr (* a a))))) (+ (sqr (* b b)) (sqr (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 712 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1))) (sqr (- 1 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1))) (sqr (- 1 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 713 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1)))))) * * * * [misc]progress: [ 714 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (sqr (+ (* a 3) 1))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (sqr (+ (* a 3) 1))) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 715 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (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 (102 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 716 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (sqr (- 1 a)) (sqr (+ (* a 3) 1))))) (- (* a a) (- a 1)))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (sqr (- 1 a)) (sqr (+ (* a 3) 1))))) (- (* a a) (- a 1)))) * * * * [misc]progress: [ 717 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (* (sqr (- 1 a)) (sqr (+ (* a 3) 1))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (* (sqr (- 1 a)) (sqr (+ (* a 3) 1))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * * * * [misc]progress: [ 718 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (- 1 a) (sqr (- 1 a))) (sqr (+ (* a 3) 1)))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (- 1 a) (sqr (- 1 a))) (sqr (+ (* a 3) 1)))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 719 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 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 (40 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (- 1 a)) (- 1 a)) (sqr (+ (* a 3) 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (- 1 a)) (- 1 a)) (sqr (+ (* a 3) 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * * * * [misc]progress: [ 720 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (* b b) (* a a))) (* (* (* (sqr (- 1 a)) (- 1 a)) (sqr (+ (* a 3) 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (* b b) (* a a))) (* (* (* (sqr (- 1 a)) (- 1 a)) (sqr (+ (* a 3) 1))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 721 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (94 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (* a 3) 1)) (- 1 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (* a 3) 1)) (- 1 a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 722 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (104 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (- 1 a) (sqr (- 1 a))) (sqr (+ (* a 3) 1)))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (- 1 a) (sqr (- 1 a))) (sqr (+ (* a 3) 1)))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 723 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (- (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 (88 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (416 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (* a 3) 1)) (cube (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (+ (* a 3) 1)) (cube (- 1 a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 724 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))) (* (* (cube (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* b b)) (sqr (* a a)))) (+ (sqr (* b b)) (sqr (* a a)))) (* (* (cube (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 725 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- 1 a) (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))) (* (* (* (- 1 a) (+ (* b b) (* a a))) (+ (* b b) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- 1 a) (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1)))) (* (* (* (- 1 a) (+ (* b b) (* a a))) (+ (* b b) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 726 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))))) * * * * [misc]progress: [ 727 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 728 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) * * * * [misc]progress: [ 729 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (sqr (- 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (+ (sqr (* b b)) (sqr (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (sqr (- 1 a))))))) * * * * [misc]progress: [ 730 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))))) * * * * [misc]progress: [ 731 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 732 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (38 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))))) * * * * [misc]progress: [ 733 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* b b) (* a a))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 734 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 735 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 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))))) (- (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 (100 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (sqr (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (sqr (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 736 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (* (* (sqr (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (* (* (sqr (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * * * * [misc]progress: [ 737 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (sqr (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (sqr (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 738 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (sqr (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (sqr (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 739 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 740 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 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 (34 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (- 1 a)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 741 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (* (* (+ (sqr (* b b)) (sqr (* a a))) (- 1 a)) (* (+ (sqr (* b b)) (sqr (* a a))) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (* (* (+ (sqr (* b b)) (sqr (* a a))) (- 1 a)) (* (+ (sqr (* b b)) (sqr (* a a))) (- 1 a))))) * * * * [misc]progress: [ 742 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (+ (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (sqr (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (+ (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (sqr (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 743 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (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 (39 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 744 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (+ (* (sqr (sqr (* (+ 1 a) (* a a)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (+ (* (sqr (sqr (* (+ 1 a) (* a a)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 745 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 746 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (109 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))))) * * * * [misc]progress: [ 747 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (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 (93 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (sqr (* (+ 1 a) (* a a))))) (sqr (sqr (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (sqr (* (+ 1 a) (* a a))))) (sqr (sqr (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 748 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (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 (35 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (+ (* (sqr (sqr (* (+ 1 a) (* a a)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) (+ (* (sqr (sqr (* (+ 1 a) (* a a)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 749 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 750 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (105 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 751 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 (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 (89 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 752 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (* (sqr (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (* (sqr (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 753 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) * * * * [misc]progress: [ 754 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (95 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))))) * * * * [misc]progress: [ 755 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) (- (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 (79 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (sqr (+ (sqr (* b b)) (sqr (* a a)))))) (* (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 756 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (sqr (+ (sqr (* b b)) (sqr (* a a))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 757 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (* b b) (* a a)))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (* b b) (* a a)))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 758 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 759 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 760 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (sqr (+ (* b b) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (sqr (+ (* b b) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 761 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))))) * * * * [misc]progress: [ 762 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 763 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 764 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 765 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (sqr (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (sqr (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 766 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 767 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 768 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 769 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 770 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 771 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (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 (104 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 772 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 773 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 774 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 775 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 776 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 777 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))))) * * * * [misc]progress: [ 778 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))))) * * * * [misc]progress: [ 779 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) (- (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 (103 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 780 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 781 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 782 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 783 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- 1 a) (+ 1 (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- 1 a) (+ 1 (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 784 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 785 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 786 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 787 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (- (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 (105 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 788 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ 1 (* 3 a)) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ 1 (* 3 a)) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * * * * [misc]progress: [ 789 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 790 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 791 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 792 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 793 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (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 (106 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 794 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 795 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 796 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (105 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 797 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) * * * * [misc]progress: [ 798 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ 1 (* 3 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ 1 (* 3 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 799 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 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 (44 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (* 3 a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (* 3 a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 800 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (* 3 a)) (sqr (+ (* b b) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (* 3 a)) (sqr (+ (* b b) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 801 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ 1 (* 3 a))))))) * * * * [misc]progress: [ 802 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ 1 (* 3 a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ 1 (* 3 a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 803 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (* 3 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (* 3 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 804 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 805 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (* 3 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (* 3 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 806 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 807 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 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 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 808 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 809 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (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 (106 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * * * * [misc]progress: [ 810 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 811 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 812 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 813 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (* a a) (- a 1)) (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (* a a) (- a 1)) (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 814 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 815 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 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 (44 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 816 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* b b) (* a a))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* b b) (* a a))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 817 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 818 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 819 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) * * * * [misc]progress: [ 820 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 821 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (sqr (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (sqr (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a))) * * * * [misc]progress: [ 822 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 823 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * * * * [misc]progress: [ 824 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (341 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (* b b) (* a a)))) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (* b b) (* a a)))) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 825 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 826 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * * * * [misc]progress: [ 827 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) (- (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 (104 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 828 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 829 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- (* a a) (- a 1))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- (* a a) (- a 1))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 830 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 831 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 832 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 833 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 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 (* (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (+ (* (sqr (* (+ 1 a) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (+ (* (sqr (* (+ 1 a) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 834 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (111 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))))) * * * * [misc]progress: [ 835 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (- (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 (95 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))))) * * * * [misc]progress: [ 836 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 837 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 838 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (- 1 a)))) (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (- 1 a)))) (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 839 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 840 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (+ 1 (* 3 a)) (* (- 1 a) (+ 1 (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (+ 1 (* 3 a)) (* (- 1 a) (+ 1 (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 841 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (- 1 a) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (- 1 a) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 842 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (- 1 a) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- 1 a)))))) * * * * [misc]progress: [ 843 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (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 (105 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 844 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 845 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a)))) * * * * [misc]progress: [ 846 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) * * * * [misc]progress: [ 847 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * * * * [misc]progress: [ 848 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (+ (- 1 a) (* (* a 3) (- 1 a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (+ (- 1 a) (* (* a 3) (- 1 a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 849 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (102 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (* a 3) (- 1 a)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (* a 3) (- 1 a)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 850 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (112 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- 1 a) (* (- 1 a) (* a 3)))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- 1 a) (* (- 1 a) (* a 3)))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 851 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (- (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 (96 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 852 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (+ (- 1 a) (* (- 1 a) (* a 3))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (+ (- 1 a) (* (- 1 a) (* a 3))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))))) * * * * [misc]progress: [ 853 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 a)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* a 3) 1) (+ (* b b) (* a a))) (+ (* b b) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 a)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* a 3) 1) (+ (* b b) (* a a))) (+ (* b b) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 854 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 855 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (44 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 856 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 857 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* b b) (* a a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* b b) (* a a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 858 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 859 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))))) * * * * [misc]progress: [ 860 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 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 (40 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 861 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (+ (* b b) (* a a))))) (+ (* (sqr (* (+ 1 a) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (+ (* b b) (* a a))))) (+ (* (sqr (* (+ 1 a) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 862 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 863 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 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 (40 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 864 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * * * * [misc]progress: [ 865 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (* (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (+ (* (sqr (* (+ 1 a) (* a a))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (+ (* (sqr (* (+ 1 a) (* a a))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 866 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (+ (* (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 867 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 868 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 869 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (* (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (cube (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 870 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 871 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (40 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 872 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (- a 1)) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * * * * [misc]progress: [ 873 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 874 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 875 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1)))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1)))) * * * * [misc]progress: [ 876 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- (* a a) (- a 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- (* a a) (- a 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 877 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- (* a a) a) 1))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (- (* a a) a) 1))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 878 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * * * * [misc]progress: [ 879 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 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 (41 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (- 1 a))) (+ (* a 3) 1)) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (- 1 a))) (+ (* a 3) 1)) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 880 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 881 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a 3) 1) (* (* (- 1 a) (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a 3) 1) (* (* (- 1 a) (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 882 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (103 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* a 3) 1) (+ (* a 3) 1))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* a 3) 1) (+ (* a 3) 1))))) * * * * [misc]progress: [ 883 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (- (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 (87 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 884 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 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 (182 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a 3) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (- 1 a)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* a 3) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a 3) 1) (- 1 a)))) (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 885 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 a) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 a) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 886 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 887 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) * * * * [misc]progress: [ 888 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (sqr (+ (* b b) (* a a)))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))))) * [exit]simplify: Simplified to (* (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (sqr (+ (* b b) (* a a)))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))))) * * * * [misc]progress: [ 889 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (105 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 890 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (115 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 891 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (- (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 (99 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 892 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (38 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 893 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* b b) (* a a))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))))) * [exit]simplify: Simplified to (* (sqr (+ (* b b) (* a a))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))))) * * * * [misc]progress: [ 894 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) * * * * [misc]progress: [ 895 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (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))))) (- (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 (101 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 896 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (110 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 897 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (94 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 898 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (104 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 899 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 900 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (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 (34 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 901 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * [exit]simplify: Simplified to (* (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * * * * [misc]progress: [ 902 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 903 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (- 1 a) (- 1 a))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (- 1 a) (- 1 a))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 904 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 905 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 906 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (- 1 a) (- 1 a)) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (- 1 a) (- 1 a)) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * * * * [misc]progress: [ 907 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) (- (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 (103 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 908 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 909 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (sqr b))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- 1 a) (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- 1 a) (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 910 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 911 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (- 1 a))) (- 1 a))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (- 1 a))) (- 1 a))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 912 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 913 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 914 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 915 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (- (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 (105 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (* 3 a) 1) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (* 3 a) 1) (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 916 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- 1 a) (- 1 a))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (+ (* a a) (- 1 a)) (* (* 3 a) (+ (* a a) (- 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- 1 a) (- 1 a))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (+ (* a a) (- 1 a)) (* (* 3 a) (+ (* a a) (- 1 a))))))) * * * * [misc]progress: [ 917 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 918 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (- 1 a) (- 1 a)) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (- 1 a) (- 1 a)) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))))) * * * * [misc]progress: [ 919 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))))) * * * * [misc]progress: [ 920 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (sqr (+ (* b b) (* a a)))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (* (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (sqr (+ (* b b) (* a a)))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * * * * [misc]progress: [ 921 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (103 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (sqr (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (sqr (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 922 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (113 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))))) * * * * [misc]progress: [ 923 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (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 (97 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (- 1 a) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- 1 a) (- 1 a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (- 1 a) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- 1 a) (- 1 a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 924 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 925 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (* 3 a)) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (* 3 a)) (- 1 a))))) (* (* (* (+ (* b b) (* a a)) (- 1 a)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (* 3 a)) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (* 3 a)) (- 1 a))))) (* (* (* (+ (* b b) (* a a)) (- 1 a)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 926 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (- 1 a)) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 927 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * * * * [misc]progress: [ 928 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (+ (* 3 a) 1)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (+ (* 3 a) 1)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 929 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (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 (106 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (- 1 a) (- 1 a)))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (- 1 a) (- 1 a)))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 930 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 931 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- 1 a) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- 1 a) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 932 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- 1 a) (- 1 a))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 933 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 934 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))))) * * * * [misc]progress: [ 935 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (41 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 936 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 937 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 938 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (110 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* (+ 1 a) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- 1 a) (- 1 a)) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* (+ 1 a) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- 1 a) (- 1 a)) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 939 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (- (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 (94 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (cube (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (cube (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 940 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (100 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (* (cube (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (- 1 a) (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (cube (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (- 1 a) (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 941 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) (* (- 1 a) (- 1 a)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) (* (- 1 a) (- 1 a)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 942 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (sqr (+ (+ (* 3 a) (sqr (* 3 a))) 1)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (sqr (+ (+ (* 3 a) (sqr (* 3 a))) 1)))))) * * * * [misc]progress: [ 943 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 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 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (+ (* 3 a) 1) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (+ (* 3 a) 1) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 944 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (sqr (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (sqr (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 945 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (103 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (+ (* 3 a) 1)))) (sqr (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (+ (* 3 a) 1)))) (sqr (+ (* b b) (* a a))))) * * * * [misc]progress: [ 946 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (112 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (* (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (+ (* 3 a) 1))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (* (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (+ (* 3 a) 1))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 947 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (- (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 (96 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (* 3 a) 1)) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (* 3 a) 1)) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 948 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (102 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 949 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* b b) (* a a)))) (* (sqr (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* b b) (* a a)))) (* (sqr (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 950 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* a a) (- 1 a)) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* a a) (- 1 a)) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 951 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 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 (44 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (- (* a a) (- a 1))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (- (* a a) (- a 1))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 952 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* a a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* b b) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* a a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* b b) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 953 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* a a) (- 1 a)) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* a a) (- 1 a)) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * * * * [misc]progress: [ 954 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (* a a) (- 1 a)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (* a a) (- 1 a)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 955 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (- 1 a)) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* a a) (- 1 a)) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 956 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (- 1 a) (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (- 1 a) (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* a a) (- 1 a))))) * * * * [misc]progress: [ 957 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* a a) (- 1 a))) (* (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) (* (- 1 a) (- 1 a)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* a a) (- 1 a))) (* (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) (* (- 1 a) (- 1 a)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 958 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * * * * [misc]progress: [ 959 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 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 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 960 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 961 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (cube (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (cube (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 962 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (104 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 963 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (- (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 (88 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (cube (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (cube (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 964 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 965 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) (* (- 1 a) (- 1 a)))) (* (- 1 a) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) (* (- 1 a) (- 1 a)))) (* (- 1 a) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * * * * [misc]progress: [ 966 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 967 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (- 1 a) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (- 1 a) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 968 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ 1 (* 3 a)) (* (- (* a a) (- a 1)) (+ 1 (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ 1 (* 3 a)) (* (- (* a a) (- a 1)) (+ 1 (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 969 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 970 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 971 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (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 (105 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 972 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 973 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (sqr (+ 1 (* 3 a))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (sqr (+ 1 (* 3 a))) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 974 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* a 3) 1))) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (* a 3) 1))) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))) * * * * [misc]progress: [ 975 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * * * * [misc]progress: [ 976 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))))) * * * * [misc]progress: [ 977 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (102 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1))) (* (* (- 1 a) (- 1 a)) (sqr (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 978 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (112 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 979 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (- (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 (96 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1))))) * * * * [misc]progress: [ 980 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1))))) * * * * [misc]progress: [ 981 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1))) (sqr (+ (* b b) (* a a)))) (* (* (- 1 a) (- 1 a)) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (sqr (+ (* a 3) 1))) (sqr (+ (* b b) (* a a)))) (* (* (- 1 a) (- 1 a)) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 982 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 983 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 984 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 985 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (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 (106 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (+ 1 (* 3 a)) (* (- 1 a) (+ 1 (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (+ 1 (* 3 a)) (* (- 1 a) (+ 1 (* 3 a)))))))) * * * * [misc]progress: [ 986 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (+ (* (sqr (* (+ 1 a) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (+ (* (sqr (* (+ 1 a) (* a a))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 987 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 988 / 2108 ] simplifiying candidate # * [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))))))) (* (* (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))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 989 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a)))) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 990 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* a 3) 1)) (sqr (- 1 a))) (+ (* (- 1 a) (* a 3)) (- 1 a))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* a 3) 1)) (sqr (- 1 a))) (+ (* (- 1 a) (* a 3)) (- 1 a))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 991 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 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 (38 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (* (- 1 a) (- 1 a)))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (* (- 1 a) (- 1 a)))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 992 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (111 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (sqr (+ (* a 3) 1))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (sqr (+ (* a 3) 1))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) * * * * [misc]progress: [ 993 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (95 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (- 1 a) (* (* a 3) (- 1 a))) (sqr (+ (* a 3) 1))) (* (sqr (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (- 1 a) (* (* a 3) (- 1 a))) (sqr (+ (* a 3) 1))) (* (sqr (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 994 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (104 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* a 3) 1) (- 1 a)) (* (sqr (+ (* a 3) 1)) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* a 3) 1) (- 1 a)) (* (sqr (+ (* a 3) 1)) (sqr (- 1 a))))) * * * * [misc]progress: [ 995 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (+ (* a 3) 1) (- 1 a)) (* (sqr (- 1 a)) (sqr (+ (* a 3) 1))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (+ (* a 3) 1) (- 1 a)) (* (sqr (- 1 a)) (sqr (+ (* a 3) 1))))) * * * * [misc]progress: [ 996 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 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 (94 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (- 1 a) (* (* a 3) (- 1 a))) (* (* (sqr (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (- 1 a) (* (* a 3) (- 1 a))) (* (* (sqr (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)))) * * * * [misc]progress: [ 997 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (425 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (+ (* a 3) 1)) (sqr (+ (* a 3) 1))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (- 1 a)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (+ (* a 3) 1)) (sqr (+ (* a 3) 1))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (- 1 a)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 998 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 999 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (42 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * * * * [misc]progress: [ 1000 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (* (sqr (+ (* b b) (* a a))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 1001 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (103 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* b b) (* a a))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (* b b) (* a a))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1002 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (112 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1003 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (- (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 (96 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1004 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 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 (38 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 1005 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* b b) (* a a))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* b b) (* a a))) (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 1006 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (* (+ (* a 3) 1) (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* a 3) 1) (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1007 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 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 (37 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1008 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)))) (+ (* a 3) 1)) (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (* (* (- 1 a) (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)))) (+ (* a 3) 1)) (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1009 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (+ (* b b) (* a a)) (* (* (+ (* b b) (* a a)) (* (- 1 a) (- 1 a))) (cube (+ (* a 3) 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (+ (* b b) (* a a)) (* (* (+ (* b b) (* a a)) (* (- 1 a) (- 1 a))) (cube (+ (* a 3) 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1010 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (101 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (+ (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1011 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (- (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 (85 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 1012 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 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 (91 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (- 1 a) (- 1 a)) (cube (+ (* a 3) 1))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 1013 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) (* (- 1 a) (- 1 a)))) (* (cube (+ (* a 3) 1)) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) (* (- 1 a) (- 1 a)))) (* (cube (+ (* a 3) 1)) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 1014 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (* (* (* (- (* a a) (- a 1)) (* (- 1 a) (- 1 a))) (sqr (+ (* a 3) 1))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (* (* (* (- (* a a) (- a 1)) (* (- 1 a) (- 1 a))) (sqr (+ (* a 3) 1))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1015 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (41 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 1016 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (* (- 1 a) (- 1 a))) (sqr (+ (* a 3) 1)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (* (- 1 a) (- 1 a))) (sqr (+ (* a 3) 1)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1017 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (* (- 1 a) (- 1 a)) (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (* (- 1 a) (- 1 a)) (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1018 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (109 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (* a 3) 1)) (* (* (- 1 a) (- 1 a)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (* a 3) 1)) (* (* (- 1 a) (- 1 a)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1019 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (- (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 (93 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (- (* a a) (- a 1)) (* (- 1 a) (- 1 a))) (sqr (+ (* a 3) 1))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (- (* a a) (- a 1)) (* (- 1 a) (- 1 a))) (sqr (+ (* a 3) 1))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 1020 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (* (* (sqr (+ (* a 3) 1)) (* (* (- 1 a) (- 1 a)) (- (* a a) (- a 1)))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (* (* (sqr (+ (* a 3) 1)) (* (* (- 1 a) (- 1 a)) (- (* a a) (- a 1)))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 1021 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- 1 a) (- 1 a))) (* (* (sqr (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- 1 a) (- 1 a))) (* (* (sqr (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 1022 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ (* a 3) 1))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ (* a 3) 1))))) * * * * [misc]progress: [ 1023 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 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 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (* (* (* (* (cube (- 1 a)) (sqr (+ (* a 3) 1))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (cube (- 1 a)) (sqr (+ (* a 3) 1))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1024 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ (* a 3) 1))) (sqr (+ (* b b) (* a a)))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ (* a 3) 1))) (sqr (+ (* b b) (* a a)))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1025 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (cube (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)) (sqr (+ (* b b) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (cube (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1)) (sqr (+ (* b b) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1026 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (95 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (* (cube (- 1 a)) (sqr (+ (* a 3) 1))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (* (cube (- 1 a)) (sqr (+ (* a 3) 1))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1027 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (- (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 (79 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (cube (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (cube (- 1 a)) (+ (* a 3) 1)) (+ (* a 3) 1))) * * * * [misc]progress: [ 1028 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (* (cube (- 1 a)) (sqr (+ (* a 3) 1)))))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))) (* (cube (- 1 a)) (sqr (+ (* a 3) 1)))))) (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 1029 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (* (- 1 a) (- 1 a)) (sqr (+ (* b b) (* a a))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (* (- 1 a) (- 1 a)) (sqr (+ (* b b) (* a a))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 1030 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (- 1 a) (- 1 a))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * [exit]simplify: Simplified to (* (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (- 1 a) (- 1 a))) (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) * * * * [misc]progress: [ 1031 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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))))) (- (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 (105 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (- 1 a) (- 1 a))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (- 1 a) (- 1 a))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1032 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (114 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (* (- 1 a) (- 1 a)) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (* a 3)) (- 1 (* a 3)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (* (- 1 a) (- 1 a)) (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (* a 3)) (- 1 (* a 3)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 1033 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (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 (98 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (- 1 a) (- 1 a))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (- 1 a) (- 1 a))) (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))))) * * * * [misc]progress: [ 1034 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (* a 3)) (- 1 (* a 3))))) (+ (* (* (* (- 1 a) (- 1 a)) (sqr (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (- 1 (* a 3))) (* (sqr (* b b)) (* (+ 1 a) (* a a))))))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (* (- 1 a) (- 1 a)) (sqr (* b b))) (* (- 1 (* a 3)) (- 1 (* a 3))))) (+ (* (* (* (- 1 a) (- 1 a)) (sqr (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (- 1 (* a 3))) (* (sqr (* b b)) (* (+ 1 a) (* a a))))))) (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1035 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (+ (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 1036 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (35 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (+ (sqr (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1037 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 1038 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (110 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 1039 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 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))))) (- (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 (94 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (* (- 1 a) (* (* (- 1 a) (* b b)) (- 1 (* a 3)))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (+ (* (+ (* b b) (* a a)) (* b b)) (sqr (* a a))) (+ (* (+ (* b b) (* a a)) (* b b)) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (* (- 1 a) (* (* (- 1 a) (* b b)) (- 1 (* a 3)))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (+ (* (+ (* b b) (* a a)) (* b b)) (sqr (* a a))) (+ (* (+ (* b b) (* a a)) (* b b)) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * * * * [misc]progress: [ 1040 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (103 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 1041 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (* (- 1 a) (- 1 a)) b) (* b (- 1 (* a 3)))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* b b) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (* (* (* (- 1 a) (- 1 a)) b) (* b (- 1 (* a 3)))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (+ (* b b) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1042 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1043 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- 1 a) (- 1 a)))) (* (* (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (* (- 1 a) (- 1 a)))) (* (* (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1044 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 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 (31 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 a) (- 1 a)))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (- 1 a) (- 1 a)))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 1045 / 2108 ] simplifiying candidate # * [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))))))) (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (416 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* b b) (* a a))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 a) (- 1 a)) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* b b) (* a a))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 a) (- 1 a)) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 1046 / 2108 ] simplifiying candidate # * [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))))))) (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1047 / 2108 ] simplifiying candidate # * [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))))))) (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (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 (36 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (sqr (sqr (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (sqr (sqr (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1048 / 2108 ] simplifiying candidate # * [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))))))) (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a))))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a))))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 1049 / 2108 ] simplifiying candidate # * [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))))))) (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a)))))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) * * * * [misc]progress: [ 1050 / 2108 ] simplifiying candidate # * [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))))))) (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))))) (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (sqr (sqr (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))))) (- (sqr (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (sqr (sqr (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1051 / 2108 ] simplifiying candidate # * [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))))))) (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (sqr (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1052 / 2108 ] simplifiying candidate # * [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))))))) (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (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 (84 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (sqr (sqr (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (- (sqr (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (sqr (sqr (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1053 / 2108 ] simplifiying candidate # * [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))))))) (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a))))) (* (sqr (* (+ 1 a) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))) (- (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a))))) (* (sqr (* (+ 1 a) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1054 / 2108 ] simplifiying candidate # * [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))))))) (* (- (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1055 / 2108 ] simplifiying candidate # * [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))))))) (* (- (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1056 / 2108 ] simplifiying candidate # * [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))))))) (* (- (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))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1057 / 2108 ] simplifiying candidate # * [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))))))) (* (- (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))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1058 / 2108 ] simplifiying candidate # * [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))))))) (* (- (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1059 / 2108 ] simplifiying candidate # * [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))))))) (* (- (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1060 / 2108 ] simplifiying candidate # * [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))))))) (* (- (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 (76 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1061 / 2108 ] simplifiying candidate # * [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))))))) (* (- (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 1062 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1063 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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 (37 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1064 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (105 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))))))) * * * * [misc]progress: [ 1065 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (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 (89 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))))) * * * * [misc]progress: [ 1066 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1067 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (sqr (+ (* (+ (sqr (* a a)) (sqr (* b b))) (sqr (* b b))) (* (sqr (* a a)) (sqr (* a a)))))) * * * * [misc]progress: [ 1068 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (+ (* (sqr (* b b)) (+ (sqr (* a a)) (sqr (* b b)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))))) * * * * [misc]progress: [ 1069 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (sqr (* b b)))) (sqr (sqr (* b b)))) (+ (* b b) (* a a))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (sqr (* b b)))) (sqr (sqr (* b b)))) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (sqr (* b b)))) (sqr (sqr (* b b)))) (+ (* b b) (* a a))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (sqr (* b b)))) (sqr (sqr (* b b)))) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 1070 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1071 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (sqr (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1072 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (96 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b))))) (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 1073 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* b b) (* a a))))) * * * * [misc]progress: [ 1074 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (+ (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1075 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1076 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* b b)) (sqr (* a a)))) (sqr (+ (sqr (* b b)) (* (* a a) (+ (* b b) (* a a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) (+ (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1077 / 2108 ] simplifiying candidate # * [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))))))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (sqr (+ (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (+ (sqr (* b b)) (sqr (* a a))) (+ (* b b) (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (+ (* b b) (* a a))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (+ (sqr (* b b)) (sqr (* a a))) (+ (* b b) (* a a))) (* (+ (sqr (* b b)) (sqr (* a a))) (+ (* b b) (* a a))))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 1078 / 2108 ] simplifiying candidate # * [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))))))) (+ (sqr (* (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 (- (sqr a) (sqr b))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (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 (36 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (+ (sqr (* (sqr (- (sqr (* a a)) (sqr (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (- (sqr (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4) (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (sqr (- (sqr (* a a)) (sqr (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (+ (sqr (* (sqr (- (sqr (* a a)) (sqr (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) (- (sqr (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4) (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (sqr (- (sqr (* a a)) (sqr (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1079 / 2108 ] simplifiying candidate # * [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))))))) (- (* (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 (32 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (* (- (* (sqr (- (sqr (* a a)) (sqr (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (- (* (sqr (- (sqr (* a a)) (sqr (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 1080 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (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)))))))) (exp (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (* (pow (exp (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))) (pow (exp (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))))) * [exit]simplify: Simplified to (* (pow (exp (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))) (pow (exp (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))))) * * * * [misc]progress: [ 1081 / 2108 ] simplifiying candidate # * * * * [misc]progress: [ 1082 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* (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 (31 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (log (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (log (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1083 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* (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 (31 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (* (pow (pow (exp 4) (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (pow (exp (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (pow (pow (exp 4) (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (pow (exp (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1084 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* (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 (31 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (cbrt (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1085 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* (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 (31 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (cube (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (cube (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1086 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (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 (31 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (* (+ 1 a) (* a a)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1087 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * * [misc]simplify: iters left: 4 (485 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (sqr (cube (* (* a a) (+ a 1)))))) (+ (* (* (- (* (cube (* a a)) (cube (* a a))) (* (sqr (cube b)) (sqr (cube b)))) (* (- (* (cube (* a a)) (cube (* a a))) (* (sqr (cube b)) (sqr (cube b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) (* (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))) (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (sqr (cube (* (* a a) (+ a 1)))))) (+ (* (* (- (* (cube (* a a)) (cube (* a a))) (* (sqr (cube b)) (sqr (cube b)))) (* (- (* (cube (* a a)) (cube (* a a))) (* (sqr (cube b)) (sqr (cube b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) (* (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))) (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (sqr (+ (* a a) (- 1 a)))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (sqr (+ (* a a) (- 1 a)))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 1088 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (443 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b)))) (* (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) b))) b)))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (* (* (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (- (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b)))) (* (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) b))) b)))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (* (* (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (- (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (42 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1089 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * * [misc]simplify: iters left: 4 (491 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b)))) (* (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (cube (* 3 a))))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b)))))))) (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))))) (* (* (* (* 4 (sqr (* (+ (* b b) (* a a)) (- (* a a) (* b b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b)))) (* (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (cube (* 3 a))))))) (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b)))))))) (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))))) (* (* (* (* 4 (sqr (* (+ (* b b) (* a a)) (- (* a a) (* b b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1090 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (429 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (+ (* a a) (- 1 a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (* a a) (- 1 a)) (* (+ (sqr (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (+ (* a a) (- 1 a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (* a a) (- 1 a)) (* (+ (sqr (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 1091 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * * [misc]simplify: iters left: 4 (457 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) b))) b)))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (* (+ a b) (- a b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) b))) b)))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (* (+ a b) (- a b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (+ (* a a) (- 1 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (+ (* a a) (- 1 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ (* a a) (- 1 a))))) * * * * [misc]progress: [ 1092 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (* (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (* 4 (sqr (- (* a a) (* b b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (* (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (* 4 (sqr (- (* a a) (* b b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1093 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (448 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* 4 (sqr (- (cube (* a a)) (cube (* b b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* 4 (sqr (- (cube (* a a)) (cube (* b b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (+ (+ (* a a) (- 1 a)) (* (+ (sqr (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (+ (+ (* a a) (- 1 a)) (* (+ (sqr (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1094 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (425 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (sqr (+ (* b b) (* a a))) (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))))) (* (- (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* a a) (* (cube a) (* a a))) (- 1 (cube (* 3 a)))) (* b b)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (sqr (+ (* b b) (* a a))) (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))))) (* (- (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* a a) (* (cube a) (* a a))) (- 1 (cube (* 3 a)))) (* b b)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (+ (* a a) (- 1 a))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (+ (* a a) (- 1 a))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1095 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * * [misc]simplify: iters left: 4 (464 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (- 1 a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (- 1 a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 1096 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (+ (cube a) 1) (* (* a a) b))) b)))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (+ (cube a) 1) (* (* a a) b))) b)))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (43 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (- (* a a) (- a 1)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (- (* a a) (- a 1)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1097 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * * [misc]simplify: iters left: 4 (460 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 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))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (sqr (cube (* (+ a 1) (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 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))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (sqr (cube (* (+ a 1) (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 1098 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (404 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))))) (* (+ (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b)))) (* (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))))) (* (+ (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b)))) (* (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (- (* a a) (- a 1)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (sqr (- (* a a) (- a 1)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1099 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * * [misc]simplify: iters left: 4 (430 enodes) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 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))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a)))))) (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 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))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a)))))) (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- (* a a) (- a 1))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- (* a a) (- a 1))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 1100 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b)))) (* (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (* b b)))))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* 4 (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b)))) (* (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (* b b)))))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* 4 (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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)))))) (- (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 (89 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- (* a a) (- a 1)))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (sqr (- (* a a) (- a 1)))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 1101 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * * [misc]simplify: iters left: 4 (431 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* 4 (- (cube (* a a)) (cube (* b b)))) (- (cube (* a a)) (cube (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (+ (cube a) 1) (* (* a a) b))) b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* 4 (- (cube (* a a)) (cube (* b b)))) (- (cube (* a a)) (cube (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (+ (cube a) 1) (* (* a a) b))) b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1102 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (- (* a a) (- a 1)))) (- (* a a) (- a 1))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (- (sqr (cube (* a a))) (sqr (cube (* b b)))) (* (- (sqr (cube (* a a))) (sqr (cube (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (- (* a a) (- a 1)))) (- (* a a) (- a 1))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (- (sqr (cube (* a a))) (sqr (cube (* b b)))) (* (- (sqr (cube (* a a))) (sqr (cube (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* a a) (* b b))))) * * * * [misc]progress: [ 1103 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * * [misc]simplify: iters left: 4 (473 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) (* (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (sqr (- (* a a) (- a 1))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) (* (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (sqr (- (* a a) (- a 1))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- 1 a) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- 1 a) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1104 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (* (sqr (+ (* a a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (* (sqr (+ (* a a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1105 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (sqr (- (* a a) (- a 1)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))))) (* (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (sqr (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (sqr (- (* a a) (- a 1)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))))) (* (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (sqr (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (- 1 a)))) (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (- 1 a)))) (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 1106 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (412 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (sqr (- (* a a) (- a 1)))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a))))))) (* (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (sqr (- (* a a) (- a 1)))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a))))))) (* (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (sqr (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (sqr (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1107 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * * [misc]simplify: iters left: 4 (450 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1))))))) (* (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (sqr (- (* a a) (* b b))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (sqr (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1))))))) (* (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (sqr (- (* a a) (* b b))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (sqr (- (* a a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- 1 a) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (- 1 a) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 1108 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (399 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) (* (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (* (- 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))))) (* (- 1 (cube (* 3 a))) (* b (* (- 1 (* a a)) (* (* a a) b)))))) (* (sqr (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))))) (* (* (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (sqr (- (* a a) (- a 1)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) (* (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (* (- 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))))) (* (- 1 (cube (* 3 a))) (* b (* (- 1 (* a a)) (* (* a a) b)))))) (* (sqr (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))))) (* (* (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (sqr (- (* a a) (- a 1)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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)))))))) (- (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 (88 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- 1 a))) (* (* (sqr (+ (* a a) (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- 1 a))) (* (* (sqr (+ (* a a) (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1109 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (427 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (sqr (- (* a a) (- a 1))) (* (* (+ 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 a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a 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 (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (sqr (- (* a a) (- a 1))) (* (* (+ 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 a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a 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 (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1)))) (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1)))) (* (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * * * * [misc]progress: [ 1110 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (410 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (sqr (- (* a a) (- a 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (+ (* (- (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))) (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- (* a a) (- a 1))))) (* (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (sqr (- (* a a) (- a 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (+ (* (- (* (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))) (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- (* a a) (- a 1))))) (* (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1)))) (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- 1 a))) (sqr (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1)))) (* (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- 1 a))) (sqr (+ (* a a) (* b b))))) * * * * [misc]progress: [ 1111 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * * [misc]simplify: iters left: 4 (447 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (* (* 3 a) (* 3 a)))) (* b b))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (* (+ (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) (* (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) 4) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) (sqr (- (cube (* a a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (* (* 3 a) (* 3 a)))) (* b b))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (* (+ (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) (* (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) 4) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) (sqr (- (cube (* a a)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (- 1 a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ (- 1 a) (* (- 1 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (- 1 a)))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ (- 1 a) (* (- 1 a) (* 3 a))))))) * * * * [misc]progress: [ 1112 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* b b)) (- 1 (* (* 3 a) (* 3 a))))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* b b)) (- 1 (* (* 3 a) (* 3 a))))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (44 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1113 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * * [misc]simplify: iters left: 4 (451 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* a a))) (* b b))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (* 3 a)) (- 1 a))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))) (sqr (cube (* (* a a) (+ a 1))))) (sqr (+ (* b b) (* a a))))) (* (* 4 (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (* 3 a)) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* a a))) (* b b))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (* 3 a)) (- 1 a))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))) (sqr (cube (* (* a a) (+ a 1))))) (sqr (+ (* b b) (* a a))))) (* (* 4 (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (* 3 a)) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1))))) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1))))) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 1114 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1115 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * * [misc]simplify: iters left: 4 (433 enodes) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (+ (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b))))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- 1 a) (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ a 1)))))))) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (+ (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ 1 (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b))))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- 1 a) (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1116 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (383 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (* a a) (* b b))) 4)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* a a))) (* b b)))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (* a a) (* b b))) 4)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* a a))) (* b b)))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (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 (89 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1117 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (412 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1118 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (405 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (+ (* b b) (* a a))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* b b)))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (- 1 a)))))) (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))))) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (+ (* b b) (* a a))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* b b)))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (- 1 a)))))) (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (+ (* a a) (- 1 a))))) * * * * [misc]progress: [ 1119 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (+ (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (* b b) (- (* 1 1) (cube (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- (* 1 1) (cube (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4)) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (+ (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (* b b) (- (* 1 1) (cube (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- (* 1 1) (cube (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4)) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1120 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * * [misc]simplify: iters left: 4 (466 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))))) (* (sqr (- (sqr (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))))) (* (sqr (- (sqr (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (41 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* a a) (- a 1))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* a a) (- a 1))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * * * * [misc]progress: [ 1121 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (+ (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (* b b) (- (* 1 1) (cube (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* 1 1) (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (+ (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (* b b) (- (* 1 1) (cube (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* 1 1) (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (cube (* (* a a) (+ 1 a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (+ (* (sqr (cube (* (* a a) (+ 1 a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 1122 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))) (+ (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))) (+ (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (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 (91 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* a a) (- a 1))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* a a) (- a 1))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1123 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (* b b) (- (* 1 1) (cube (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* 1 1) (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (* b b) (- (* 1 1) (cube (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* 1 1) (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 1124 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (432 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* 4 (sqr (* (+ a b) (- a b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (* (+ (* (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (cube (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* 4 (sqr (* (+ a b) (- a b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (* (+ (* (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (cube (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (* a a) (- a 1))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (* a a) (- a 1))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 1125 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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 (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * * [misc]simplify: iters left: 4 (460 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1126 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * * * * [misc]progress: [ 1127 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * * [misc]simplify: iters left: 4 (477 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))))) (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (* 3 a))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))))))) (* (* (+ 1 (* 3 a)) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))) (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))))) (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (* 3 a))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))))))) (* (* (+ 1 (* 3 a)) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))) (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (sqr (+ (* a a) (- 1 a)))) (* (+ (* 3 a) 1) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (sqr (+ (* a a) (- 1 a)))) (* (+ (* 3 a) 1) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 1128 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (410 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ 1 (* 3 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ 1 (* 3 a)) (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b)))))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* 4 (* (- (cube (* a a)) (cube (* b b))) (- (cube (* a a)) (cube (* b b))))) (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ 1 (* 3 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ 1 (* 3 a)) (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b)))))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* 4 (* (- (cube (* a a)) (cube (* b b))) (- (cube (* a a)) (cube (* b b))))) (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 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 (42 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (+ (* 3 a) 1))) * * * * [misc]progress: [ 1129 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * * [misc]simplify: iters left: 4 (442 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ 1 (* 3 a)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (+ (* (- (* (+ 1 (* 3 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (sqr (cube (* (* a a) (+ a 1)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ 1 (* 3 a)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (+ (* (- (* (+ 1 (* 3 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (sqr (cube (* (* a a) (+ a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (+ (* 3 a) 1) (* (* (sqr (- (* a a) (- a 1))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (+ (* 3 a) 1) (* (* (sqr (- (* a a) (- a 1))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1130 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ 1 (* 3 a))) (* (* (* 4 (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a))))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (* 3 a))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ 1 (* 3 a))) (* (* (* 4 (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a))))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (* 3 a))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* 3 a) 1))) * * * * [misc]progress: [ 1131 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a))) (* (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (- a b) (+ a b))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (* 3 a))) (* (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a))))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a))) (* (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (- a b) (+ a b))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (* 3 a))) (* (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a))))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (+ (* 3 a) 1))) * * * * [misc]progress: [ 1132 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (396 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (* 3 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a)))))) (* (* (* (sqr (* (- a b) (+ a b))) 4) (- (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (* 3 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a)))))) (* (* (* (sqr (* (- a b) (+ a b))) 4) (- (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* 3 a) 1) (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* 3 a) 1) (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 1133 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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 (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ 1 (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (* 3 a))) (* (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (sqr (- (cube (sqr (* a a))) (sqr (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ 1 (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (* 3 a))) (* (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (sqr (- (cube (sqr (* a a))) (sqr (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (77 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (+ (* 3 a) 1))) * * * * [misc]progress: [ 1134 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * * [misc]simplify: iters left: 4 (407 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a)))) (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (* 3 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 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 (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ 1 (* 3 a)))) (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (* 3 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (+ (* 3 a) 1))) * * * * [misc]progress: [ 1135 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * * [misc]simplify: iters left: 4 (445 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (+ (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))))) (* (* (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* (* (- (cube (* a a)) (sqr (cube b))) 4) (- (cube (* a a)) (sqr (cube b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (+ (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))))) (* (* (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* (* (- (cube (* a a)) (sqr (cube b))) 4) (- (cube (* a a)) (sqr (cube b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (* a a) (- 1 a))))) * * * * [misc]progress: [ 1136 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * * [misc]simplify: iters left: 4 (400 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (+ (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (- (sqr (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (sqr (cube b)) (sqr (cube b)))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (+ (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (sqr (- (sqr (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (sqr (cube b)) (sqr (cube b)))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (+ (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 (41 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1137 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * * [misc]simplify: iters left: 4 (442 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (+ (* (cube (* (+ a 1) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (+ (* (cube (* (+ a 1) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (- (* a a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (- (* a a) (- a 1)))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (- (* a a) (- a 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (- (* a a) (- a 1)))) * * * * [misc]progress: [ 1138 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (382 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (+ (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 (91 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (- (* a a) (- a 1)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (- (* a a) (- a 1)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1139 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (435 enodes) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (+ (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* a a) (* (cube a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) (* (* (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (* (* (- a b) (+ a b)) (* (- a b) (+ a b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (+ (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* a a) (* (cube a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) (* (* (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (* (* (- a b) (+ a b)) (* (- a b) (+ a b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 1140 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* 4 (sqr (- (* a a) (* b b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (+ (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* 4 (sqr (- (* a a) (* b b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (+ (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * * [misc]simplify: iters left: 3 (431 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ (* (- (* a a) a) (sqr (- (* a a) (- a 1)))) (sqr (- (* a a) (- a 1)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (+ (* (- (* a a) a) (sqr (- (* a a) (- a 1)))) (sqr (- (* a a) (- a 1)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 1141 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (cube (* a a)) (cube (* b b))) (* 4 (- (cube (* a a)) (cube (* b b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (cube (* a a)) (cube (* b b))) (* 4 (- (cube (* a a)) (cube (* b b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- (* a a) (- a 1)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- (* a a) (- a 1)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1142 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* 4 (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a))))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))))) (* (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* a a) (* (cube a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* 4 (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a))))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))))) (* (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* a a) (* (cube a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- (* a a) (- a 1))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- (* a a) (- a 1))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 1143 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * * [misc]simplify: iters left: 4 (421 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a)))))) (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- 1 a)) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) (* (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a)))))) (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- 1 a)) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) (* (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (sqr (- (* a a) (- a 1))) (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (sqr (- (* a a) (- a 1))) (- 1 a)) (sqr (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1144 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (* (- 1 a) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* 4 (* (- (cube (* a a)) (cube (* b b))) (- (cube (* a a)) (cube (* b b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (* (- 1 a) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* 4 (* (- (cube (* a a)) (cube (* b b))) (- (cube (* a a)) (cube (* b b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 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 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- 1 a)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- 1 a)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1145 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- 1 a)) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- 1 a)) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1146 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (+ (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- 1 a))) (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (+ (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- 1 a))) (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (- 1 a)) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1147 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (390 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (* a a) (* b b))) 4))) (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- 1 a)) (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (* a a) (* b b))) 4))) (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- 1 a)) (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [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 (* (* (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1148 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 a) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (* (sqr (- (* a a) (* b b))) 4) (- (sqr (cube (* (+ a 1) (* a a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 a) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (* (sqr (- (* a a) (* b b))) 4) (- (sqr (cube (* (+ a 1) (* a a)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * * * * [misc]progress: [ 1149 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* 4 (- (cube (* a a)) (cube (* b b)))) (- (cube (* a a)) (cube (* b b)))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* 4 (- (cube (* a a)) (cube (* b b)))) (- (cube (* a a)) (cube (* b b)))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 1150 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (sqr (- (* a a) (- a 1)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * * * * [misc]progress: [ 1151 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (+ (* (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- (* 1 1) (cube (* 3 a))) (* b b)) (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) (* 1 1)) (* a a))))) (sqr (- (* a a) (- a 1)))) (* (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a))) (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (sqr (- (* a a) (- a 1))) (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (- (cube (* a a)) (cube (* b b))) (- (cube (* a a)) (cube (* b b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (+ (* (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- (* 1 1) (cube (* 3 a))) (* b b)) (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) (* 1 1)) (* a a))))) (sqr (- (* a a) (- a 1)))) (* (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a))) (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (sqr (- (* a a) (- a 1))) (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (* (- (cube (* a a)) (cube (* b b))) (- (cube (* a a)) (cube (* b b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (+ (* a a) (- 1 a))))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (+ (* a a) (- 1 a))))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1152 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * * [misc]simplify: iters left: 4 (470 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (sqr (+ (* a a) (- 1 a))))) (- (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b)))) (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (* (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (sqr (+ (* a a) (- 1 a))))) (- (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b)))) (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (43 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1153 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- (* 1 1) (cube (* 3 a))) (* b b)) (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) (* 1 1)) (* a a)))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- (* 1 1) (cube (* 3 a))) (* b b)) (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) (* 1 1)) (* a a)))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (* a a) (- a 1))))))) (sqr (+ (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (* a a) (- a 1))))))) (sqr (+ (* a a) (* b b)))) * * * * [misc]progress: [ 1154 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (451 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (- (* a a) (- a 1)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (- (* a a) (- a 1)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (* a a) (- a 1)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (* a a) (- a 1)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1155 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * * [misc]simplify: iters left: 4 (487 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ (* a a) (- 1 a))))) (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (* (sqr (+ 1 (* 3 a))) (+ (* a a) (- 1 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ (* a a) (- 1 a))))) (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (* 4 (sqr (* (- a b) (+ a b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (* (sqr (+ 1 (* 3 a))) (+ (* a a) (- 1 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1156 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (438 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (+ (* a a) (* (cube a) (* a a))) (sqr (+ 1 (* 3 a))))))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (+ (* a a) (* (cube a) (* a a))) (sqr (+ 1 (* 3 a))))))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ 1 (* 3 a))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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)))))))) (- (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 (89 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 1157 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* 4 (- (cube (* a a)) (cube (* b b)))) (- (cube (* a a)) (cube (* b b))))) (* (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a))))) (* (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (sqr (+ (* a a) (- 1 a))))) (- (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (sqr (+ 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* 4 (- (cube (* a a)) (cube (* b b)))) (- (cube (* a a)) (cube (* b b))))) (* (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a))))) (* (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (sqr (+ (* a a) (- 1 a))))) (- (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (sqr (+ 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* a a) (- 1 a)) (* (+ (* 3 a) (sqr (* 3 a))) (+ (* a a) (- 1 a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (+ (+ (* a a) (- 1 a)) (* (+ (* 3 a) (sqr (* 3 a))) (+ (* a a) (- 1 a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * * * * [misc]progress: [ 1158 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a)))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (- (sqr (cube (* a a))) (sqr (cube (* b b)))) (* (- (sqr (cube (* a a))) (sqr (cube (* b b)))) (sqr (+ (* a a) (- 1 a))))) (- (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a)))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a)))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (- (sqr (cube (* a a))) (sqr (cube (* b b)))) (* (- (sqr (cube (* a a))) (sqr (cube (* b b)))) (sqr (+ (* a a) (- 1 a))))) (- (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a)))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (* (* (sqr (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (* b b))))) * * * * [misc]progress: [ 1159 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * * [misc]simplify: iters left: 4 (467 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (+ (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))))) (* (sqr (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (sqr (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))) (* (* (- (cube (* a a)) (cube (* b b))) (* 4 (- (cube (* a a)) (cube (* b b))))) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (+ (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))))) (* (sqr (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (sqr (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))) (* (* (- (cube (* a a)) (cube (* b b))) (* 4 (- (cube (* a a)) (cube (* b b))))) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (sqr (- (* a a) (- a 1))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (sqr (- (* a a) (- a 1))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 1160 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (397 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))) (* (sqr (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))))) (* (sqr (- (sqr (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))))))) (* (* (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))) (* (sqr (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))))) (* (sqr (- (sqr (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))))))) (* (* (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (39 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (sqr (- (* a a) (- a 1))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- (* a a) (- a 1)))) (sqr (- (* a a) (- a 1))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1161 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * * [misc]simplify: iters left: 4 (463 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (sqr (+ (* a a) (- 1 a))) (* (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (sqr (- (sqr (* a a)) (* (* b b) (* b b))))))) (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (sqr (+ (* a a) (- 1 a))) (* (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (sqr (- (sqr (* a a)) (* (* b b) (* b b))))))) (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (sqr (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (sqr (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1162 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (395 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))))))) (* (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (sqr (+ (* a a) (- 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))))))) (* (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (sqr (+ (* a a) (- 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1163 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (441 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) 4)) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) 4)) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (95 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))))) (- (sqr (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))))) (- (sqr (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1164 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (393 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (+ (* a a) (- 1 a)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (+ (* a a) (- 1 a)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (- (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 (79 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (+ (* a a) (- 1 a)))) (sqr (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (+ (* a a) (- 1 a)))) (sqr (+ (* a a) (- 1 a))))) * * * * [misc]progress: [ 1165 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a))))) (* (* (* (- (cube (* a a)) (cube (* b b))) (* 4 (- (cube (* a a)) (cube (* b b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a))))) (* (* (* (- (cube (* a a)) (cube (* b b))) (* 4 (- (cube (* a a)) (cube (* b b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (sqr (+ (* a a) (- 1 a))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (* a 3) 1) (+ (* a a) (- 1 a))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (* a 3) 1) (+ (* a a) (- 1 a))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 1166 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (421 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* (* 3 a) (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (sqr (+ (* a a) (- 1 a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* (* 3 a) (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (sqr (+ (* a a) (- 1 a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 1167 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr 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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * * [misc]simplify: iters left: 4 (453 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) (* (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) (* (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (sqr (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (sqr (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 1168 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (421 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))))) (* (* (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))))) (* (* (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (44 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1169 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))) (* (sqr (cube (* (* a a) (+ a 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))) (* (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))) (* (sqr (cube (* (* a a) (+ a 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))) (* (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (sqr (cube (* (+ 1 a) (* a a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (sqr (cube (* (+ 1 a) (* a a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 1170 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (409 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ 1 (* 3 a)) (* (- 1 a) (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ 1 (* 3 a)) (* (- 1 a) (+ 1 (* 3 a)))))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ 1 (* 3 a)) (* (- 1 a) (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ 1 (* 3 a)) (* (- 1 a) (+ 1 (* 3 a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ 1 (* 3 a)))) (sqr (- (* a a) (- a 1))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ 1 (* 3 a)))) (sqr (- (* a a) (- a 1))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1171 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * * [misc]simplify: iters left: 4 (436 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1))))) (+ (* (* (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b)))) (* (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- 1 a) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ a 1)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1))))) (+ (* (* (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b)))) (* (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- 1 a) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ 1 (* 3 a)))) (sqr (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ 1 (* 3 a)))) (sqr (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1172 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (* a a) (* b b))) 4))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (- 1 (* a a)) (* a a)) (sqr (+ 1 (* 3 a))))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (* a a) (* b b))) 4))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (- 1 (* a a)) (* a a)) (sqr (+ 1 (* 3 a))))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (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 (89 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1173 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1174 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (408 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (sqr (+ (* b b) (* a a))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (- 1 (* a a)) (* a a)) (sqr (+ 1 (* 3 a))))))) (* (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (sqr (+ (* b b) (* a a))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (- 1 (* a a)) (* a a)) (sqr (+ 1 (* 3 a))))))) (* (* (* (sqr (+ 1 (* 3 a))) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (sqr (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (sqr (+ (* a a) (- 1 a))))) * * * * [misc]progress: [ 1175 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * * [misc]simplify: iters left: 4 (438 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ a 1) (* a a)))))) (+ (* (* (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))) (sqr (+ (* 3 a) 1)))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ a 1) (* a a)))))) (+ (* (* (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))) (sqr (+ (* 3 a) 1)))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1176 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ (* 3 a) 1))) (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b)))))))) (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ (* 3 a) 1))) (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b)))))))) (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1177 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * * [misc]simplify: iters left: 4 (443 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (* (* (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (* (* (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1178 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (378 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1)))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4)))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1)))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (88 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (sqr (+ (* a a) (- 1 a))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (+ (* a 3) 1) (- 1 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (sqr (+ (* a a) (- 1 a))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (* (+ (* a 3) 1) (- 1 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1179 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (* (- a b) (+ a b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (sqr (* (- a b) (+ a b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (97 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (+ (* a 3) 1)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (+ (* a 3) 1)) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1180 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (364 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (* (- 1 a) (sqr (+ (* 3 a) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (sqr (- (* a a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (* (- 1 a) (sqr (+ (* 3 a) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (sqr (- (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (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 (81 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (sqr (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (sqr (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1181 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (393 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (* (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (- 1 a) (sqr (+ (* 3 a) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (* (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (- 1 a) (sqr (+ (* 3 a) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (+ (* (- 1 a) (* a 3)) (- 1 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (+ (* (- 1 a) (* a 3)) (- 1 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1182 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (sqr (* (+ (* b b) (* a a)) (- (* a a) (* b b))))))) (* (sqr (+ (* b b) (* a a))) (+ (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))))) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (sqr (* (+ (* b b) (* a a)) (- (* a a) (* b b))))))) (* (sqr (+ (* b b) (* a a))) (+ (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [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 (370 enodes) * [exit]simplify: Simplified to (* (* (sqr (- (* a a) (- a 1))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- 1 a)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (* (* (sqr (- (* a a) (- a 1))) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (* (+ (* a 3) 1) (- 1 a)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * * * [misc]progress: [ 1183 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- (* 1 1) (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (sqr (+ (* 3 a) 1))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a)))) (* (sqr (+ (* 3 a) 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) (* (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4)) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- (* 1 1) (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (sqr (+ (* 3 a) 1))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a)))) (* (sqr (+ (* 3 a) 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) (* (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4)) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1184 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (465 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (cube (* 3 a)))) (sqr (+ (* 3 a) 1)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (+ (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ (* 3 a) 1))) (sqr (+ (* 3 a) 1))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (cube (* 3 a)))) (sqr (+ (* 3 a) 1)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (+ (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ (* 3 a) 1))) (sqr (+ (* 3 a) 1))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (42 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1185 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * * [misc]simplify: iters left: 4 (494 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (+ (* (- (* (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (sqr (+ (* 3 a) 1)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))))) (* (+ (sqr (+ (* 3 a) 1)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ (* 3 a) 1)))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (+ (* (- (* (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (sqr (+ (* 3 a) 1)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))))) (* (+ (sqr (+ (* 3 a) 1)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ (* 3 a) 1)))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1186 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * * [misc]simplify: iters left: 4 (465 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (+ (* (- (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (sqr (+ (* 3 a) 1)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ (* 3 a) 1))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (+ (* (- (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (sqr (+ (* 3 a) 1)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ (* 3 a) 1))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1187 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (- a b) (+ a b))) 4))) (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a))) (sqr (+ (* 3 a) 1)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- (* 1 1) (cube (* 3 a)))) (sqr (+ (* 3 a) 1)))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (- a b) (+ a b))) 4))) (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a))) (sqr (+ (* 3 a) 1)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- (* 1 1) (cube (* 3 a)))) (sqr (+ (* 3 a) 1)))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1188 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (448 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (- (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (cube (* 3 a)))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b)))))) (* (* (* (sqr (* (- a b) (+ a b))) 4) (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (- (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (cube (* 3 a)))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b)))))) (* (* (* (sqr (* (- a b) (+ a b))) 4) (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) (sqr (* 3 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (* a a) (- a 1))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (+ (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) (sqr (* 3 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (* a a) (- a 1))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1189 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (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 (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * * [misc]simplify: iters left: 4 (465 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (* (- (* (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (cube (* 3 a)))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (sqr (+ (* 3 a) 1)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ (* 3 a) 1)))))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (* (- (* (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (cube (* 3 a)))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (sqr (+ (* 3 a) 1)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ (* 3 a) 1)))))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 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 (34 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 1190 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * * [misc]simplify: iters left: 4 (459 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (+ (* (- (* (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (sqr (+ (* 3 a) 1)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ (* 3 a) 1))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (+ (* (- (* (sqr (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (sqr (+ (* 3 a) 1)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ (* 3 a) 1))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * * * * [misc]progress: [ 1191 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * * [misc]simplify: iters left: 4 (458 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* (* 3 a) (* 3 a))) (* (* (+ a 1) (* a a)) (* b b)))))) (* (* (cube (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b)))))))) (* (* (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))) (* (sqr (* a a)) (sqr (* a a))))) (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* (* 3 a) (* 3 a))) (* (* (+ a 1) (* a a)) (* b b)))))) (* (* (cube (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b)))))))) (* (* (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))) (* (sqr (* a a)) (sqr (* a a))))) (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1192 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (398 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))))) (* (+ (* (* (cube (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (+ a 1))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))))) (* (+ (* (* (cube (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (+ a 1))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 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 (38 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) * [exit]simplify: Simplified to (* (* (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) * * * * [misc]progress: [ 1193 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (456 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (+ a 1))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) (* (+ (sqr (cube (* (* a a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (+ a 1))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) (* (+ (sqr (cube (* (* a a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (sqr (+ (* a a) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (cube (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (sqr (+ (* a a) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (cube (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1194 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (390 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a))))) (- (sqr (cube (* (* a a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (* (cube (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b)))))) (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a))))) (- (sqr (cube (* (* a a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (* (cube (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b)))))) (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (sqr (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (sqr (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 1195 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * * [misc]simplify: iters left: 4 (419 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (+ a 1))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))))) (+ (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))))) (* (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (sqr (- (* a a) (* b b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (+ a 1))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))))) (+ (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))))) (* (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (sqr (- (* a a) (* b b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1196 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (- (* a a) (- a 1)))))) (* (+ (* (* (cube (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b)))))) (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* (* 3 a) (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (- (* a a) (- a 1)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (sqr (- (* a a) (- a 1)))))) (* (+ (* (* (cube (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b)))))) (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* (* 3 a) (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (- (* a a) (- a 1)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 1197 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (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 (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1))))) (* (* (* (- (cube (* a a)) (cube (* b b))) 4) (- (cube (* a a)) (cube (* b b)))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (cube (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1))))) (* (* (* (- (cube (* a a)) (cube (* b b))) 4) (- (cube (* a a)) (cube (* b b)))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (cube (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 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 (68 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) * * * * [misc]progress: [ 1198 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* (* 3 a) (* 3 a))) (* (* (* a a) (+ a 1)) (* b b)))))) (* (* (cube (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* (* 3 a) (* 3 a))) (* (* (* a a) (+ a 1)) (* b b)))))) (* (* (cube (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (* (* (* (cube (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))) (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (cube (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))) (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (+ (* a a) (* b b))))) * * * * [misc]progress: [ 1199 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * * [misc]simplify: iters left: 4 (479 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (+ (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))))))) (* (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (+ (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))))))) (* (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (* (* (+ (* a a) (- 1 a)) (* (sqr (+ (* a a) (- 1 a))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (* (* (+ (* a a) (- 1 a)) (* (sqr (+ (* a a) (- 1 a))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1200 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (421 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (- (* a a) (- a 1))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))))) (* (+ (* (sqr (- (cube (sqr (* a a))) (sqr (sqr (cube b))))) (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* 3 a)))) (* (sqr (- (cube (sqr (* a a))) (sqr (sqr (cube b))))) (sqr (- (* a a) (- a 1)))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (- (* a a) (- a 1))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))))) (* (+ (* (sqr (- (cube (sqr (* a a))) (sqr (sqr (cube b))))) (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* 3 a)))) (* (sqr (- (cube (sqr (* a a))) (sqr (sqr (cube b))))) (sqr (- (* a a) (- a 1)))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (38 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1201 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (479 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))))) (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))))) (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (sqr (+ (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (sqr (+ (* a a) (* b b)))) * * * * [misc]progress: [ 1202 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (- (* a a) (- a 1))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a))))) (- (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (+ (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- (* a a) (- a 1)))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (- (* a a) (- a 1))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a))))) (- (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (+ (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- (* a a) (- a 1)))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (* (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (* (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 1203 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * * [misc]simplify: iters left: 4 (442 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (* (* (* (- (* a a) (- a 1)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (* (* (* (- (* a a) (- a 1)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (sqr (* (+ a b) (- a b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))) (- (* a a) (- a 1))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1204 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (397 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) 4)) (* (+ (* (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (sqr (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) 4)) (* (+ (* (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (sqr (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- (* a a) (- a 1))) (sqr (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- (* a a) (- a 1))) (sqr (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1205 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (sqr (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (sqr (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (- (* a a) (- a 1)) (* (sqr (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (- (* a a) (- a 1)) (* (sqr (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1206 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (414 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (- (* a a) (- a 1))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (- (* a a) (- a 1))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (* (sqr (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (* (sqr (- (* a a) (- a 1))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (+ (* a a) (* b b))))) * * * * [misc]progress: [ 1207 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (- 1 (* 3 a)) (* b b)) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a)))))))) (* (* (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* 3 a) 1))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (- 1 (* 3 a)) (* b b)) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a)))))))) (* (* (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* 3 a) 1))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- 1 a) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- 1 a) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1208 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (344 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (* 3 a) 1)) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (* (- 1 a) (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))) (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (* 3 a) 1)) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (* (- 1 a) (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 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 (39 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (- 1 a) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (- 1 a) (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1209 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) (* (+ (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (sqr (cube (* a a))) (cube (* (* b b) (* b b)))))) (* (* (sqr (- (sqr (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* a a)) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) (* (+ (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (sqr (cube (* a a))) (cube (* (* b b) (* b b)))))) (* (* (sqr (- (sqr (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* a a)) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (sqr (+ (* a a) (- 1 a)))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (sqr (+ (* a a) (- 1 a)))) (* (+ (* a 3) 1) (+ (* a 3) 1)))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1210 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (* (- 1 a) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (* (- 1 a) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 a)) (sqr (- (* a a) (- a 1))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 a)) (sqr (- (* a a) (- a 1))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1211 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * * [misc]simplify: iters left: 4 (385 enodes) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (+ (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (- 1 a) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))))) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (+ (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (- 1 a) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (* (* (+ a b) (- a b)) (* (+ a b) (- a b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (88 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))) (- 1 a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))) (- 1 a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1212 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (sqr (* (+ a b) (- a b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (sqr (* (+ a b) (- a b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (- (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 (72 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 a)) (sqr (- (* a a) (- a 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a 3) 1) (+ (* a 3) 1)) (- 1 a)) (sqr (- (* a a) (- a 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1213 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (338 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* 3 a) 1)))) (* (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* 3 a) 1)))) (* (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (* (* (* (+ (* a 3) 1) (- 1 a)) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (+ (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (* (* (* (+ (* a 3) 1) (- 1 a)) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (+ (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 1214 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (+ (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* 3 a)) (* b b)) (sqr (+ (* 3 a) 1))) (* (- 1 (* a a)) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (+ (* (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* 3 a)) (* b b)) (sqr (+ (* 3 a) 1))) (* (- 1 (* a a)) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ (* a a) (- 1 a))) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (+ (* a 3) 1)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ (* a a) (- 1 a))) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (+ (* a 3) 1)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1215 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * * [misc]simplify: iters left: 4 (452 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) (* (+ (* (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) (* (+ (* (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1)))) (* (sqr (* (* b b) (- 1 (* a 3)))) (+ (+ (sqr (* (* b b) (- 1 (* a 3)))) (sqr (* (* a a) (+ 1 a)))) (* (- 1 (* a 3)) (* (* b b) (* (* a a) (+ 1 a))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1)))) (* (sqr (* (* b b) (- 1 (* a 3)))) (+ (+ (sqr (* (* b b) (- 1 (* a 3)))) (sqr (* (* a a) (+ 1 a)))) (* (- 1 (* a 3)) (* (* b b) (* (* a a) (+ 1 a))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))))))) * * * * [misc]progress: [ 1216 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (399 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (+ (* (* (sqr (* (* b b) (- 1 (* a 3)))) (sqr (* (* b b) (- 1 (* a 3))))) (sqr (- (* a a) (- a 1)))) (* (* (sqr (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* a 3))) (+ (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (+ (* (* (sqr (* (* b b) (- 1 (* a 3)))) (sqr (* (* b b) (- 1 (* a 3))))) (sqr (- (* a a) (- a 1)))) (* (* (sqr (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* a 3))) (+ (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1217 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (442 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))))) (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))))) (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))))) (* (sqr (* (* b b) (- 1 (* a 3)))) (+ (* (* (* b b) (* (* a a) (+ 1 a))) (- 1 (* a 3))) (+ (sqr (* (* a a) (+ 1 a))) (sqr (* (* b b) (- 1 (* a 3)))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))))) (* (sqr (* (* b b) (- 1 (* a 3)))) (+ (* (* (* b b) (* (* a a) (+ 1 a))) (- 1 (* a 3))) (+ (sqr (* (* a a) (+ 1 a))) (sqr (* (* b b) (- 1 (* a 3)))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (- 1 a))))) * * * * [misc]progress: [ 1218 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (* a a)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (+ (* (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (* a a)))))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (* a a)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (+ (* (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ a 1) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (* a a)))))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (+ (* (* (sqr (- (* a a) (- a 1))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (* (- 1 (* a 3)) (- 1 (* a 3))) (* (- 1 (* a 3)) (- 1 (* a 3))))) (* (* (sqr (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* a 3))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* a 3)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (+ (* (* (sqr (- (* a a) (- a 1))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (* (- 1 (* a 3)) (- 1 (* a 3))) (* (- 1 (* a 3)) (- 1 (* a 3))))) (* (* (sqr (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* a 3))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* a 3)))))))) * * * * [misc]progress: [ 1219 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (428 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (sqr (- (* a a) (* b b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (* a a))))))) (* (+ (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (sqr (- (* a a) (* b b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (* a a))))))) (* (+ (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))) (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (* a a)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1))))) (* (sqr (* (* b b) (- 1 (* a 3)))) (+ (* (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a))) (+ (sqr (* (* b b) (- 1 (* a 3)))) (sqr (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (- (* a a) (- a 1))))) (* (sqr (* (* b b) (- 1 (* a 3)))) (+ (* (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a))) (+ (sqr (* (* b b) (- 1 (* a 3)))) (sqr (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1220 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (377 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))) (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))) (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (- (* a a) (* b b))) 4) (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))) (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))) (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (- (* a a) (* b b))) 4) (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1))))) (* (sqr (* (* b b) (- 1 (* a 3)))) (+ (* (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a))) (+ (sqr (* (* a a) (+ 1 a))) (sqr (* (* b b) (- 1 (* a 3))))))))) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1))))) (* (sqr (* (* b b) (- 1 (* a 3)))) (+ (* (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a))) (+ (sqr (* (* a a) (+ 1 a))) (sqr (* (* b b) (- 1 (* a 3))))))))) * * * * [misc]progress: [ 1221 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (* 3 a))))))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (* 3 a))))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (* 3 a))))))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (+ (sqr (* (+ a 1) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (* 3 a))))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (38 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (* (* (sqr (* (* b b) (- 1 (* a 3)))) (+ (+ (sqr (* (* b b) (- 1 (* a 3)))) (sqr (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (* (* (sqr (* (* b b) (- 1 (* a 3)))) (+ (+ (sqr (* (* b b) (- 1 (* a 3)))) (sqr (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 1222 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (403 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 (* (+ a 1) (* a a)))) (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (* a a)))) (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [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 (* (+ a 1) (* a a)))) (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (+ (+ (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (sqr (* (+ a 1) (* a a)))) (* (- 1 (* 3 a)) (* (* b b) (* (+ a 1) (* a a)))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (+ (* (* (sqr (* (* b b) (- 1 (* a 3)))) (sqr (* (* b b) (- 1 (* a 3))))) (sqr (+ (* a a) (- 1 a)))) (* (* (sqr (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* a 3))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* a 3))))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (* (sqr (* (* b b) (- 1 (* a 3)))) (sqr (* (* b b) (- 1 (* a 3))))) (sqr (+ (* a a) (- 1 a)))) (* (* (sqr (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* a 3))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* a 3))))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1223 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (* (* b b) (- 1 (* a 3)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* a 3))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (* (* b b) (- 1 (* a 3)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* a 3))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))))) * * * * [misc]progress: [ 1224 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (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))))) (- (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 (91 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (* (* b b) (- 1 (* a 3)))) (+ (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (* (* b b) (- 1 (* a 3)))) (+ (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1225 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (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)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * * [misc]simplify: iters left: 4 (400 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4)) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4)) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (* b b) (- 1 (* a 3)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* a 3))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (* b b) (- 1 (* a 3)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* a 3))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1226 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (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)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* b b) (* a a)))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* b b) (* a a)))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (+ (* a a) (- 1 a))) (* (* b b) (- 1 (* a 3)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* a 3)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (+ (* a a) (- 1 a))) (* (* b b) (- 1 (* a 3)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* a 3)))))) * * * * [misc]progress: [ 1227 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (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 (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (409 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (* (+ a b) (- a b))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (* (+ a b) (- a b))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [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 (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (* (* b b) (- 1 (* a 3)))) (+ (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (sqr (- (* a a) (- a 1))) (* (* b b) (- 1 (* a 3)))) (+ (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1228 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (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 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (sqr (* (- a b) (+ a b))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))))) (* (- (sqr (cube (* (+ a 1) (* a a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) 4)) (* (* (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (sqr (* (- a b) (+ a b))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))))) (* (- (sqr (cube (* (+ a 1) (* a a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) 4)) (* (* (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (* (* b b) (- 1 (* a 3))) (sqr (- (* a a) (- a 1)))) (+ (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (* (* b b) (- 1 (* a 3))) (sqr (- (* a a) (- a 1)))) (+ (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a))))) * * * * [misc]progress: [ 1229 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (375 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (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 (34 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (* b b) (- 1 (* a 3)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* a 3))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (* b b) (- 1 (* a 3)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* a 3))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 1230 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (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)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (342 enodes) * [exit]simplify: Simplified to (+ (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)))) * [exit]simplify: Simplified to (+ (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (* b b) (- 1 (* a 3)))) (+ (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- (* a a) (- a 1))) (* (* b b) (- 1 (* a 3)))) (+ (* (* b b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * * * * [misc]progress: [ 1231 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (82 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (- (* (* (* (* b b) (- (* 1 1) (cube (* 3 a)))) (* (* b b) (- (* 1 1) (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (+ (* 1 1) (cube a)) (* a a)) (* b b)) (- (* 1 1) (cube (* 3 a)))))) (* (- 1 a) (- 1 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a)))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (- (* (* (* (* b b) (- (* 1 1) (cube (* 3 a)))) (* (* b b) (- (* 1 1) (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (+ (* 1 1) (cube a)) (* a a)) (* b b)) (- (* 1 1) (cube (* 3 a)))))) (* (- 1 a) (- 1 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a)))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1232 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (476 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (+ (* (* a a) (cube a)) (* a a))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) 4) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (+ (* (* a a) (cube a)) (* a a))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) 4) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (43 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1233 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- (* 1 1) (cube (* 3 a)))) (* (* b b) (- (* 1 1) (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- (* 1 1) (cube (* 3 a)))) (* (+ (* 1 1) (cube a)) (* a a))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (- 1 a) (- 1 a)))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- (* 1 1) (cube (* 3 a)))) (* (* b b) (- (* 1 1) (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- (* 1 1) (cube (* 3 a)))) (* (+ (* 1 1) (cube a)) (* a a))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (- 1 a) (- 1 a)))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- 1 a) (- 1 a))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (sqr (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- 1 a) (- 1 a))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (sqr (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 1234 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (456 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (sqr (- (sqr (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))))) (* (* (sqr (- (sqr (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* (* a a) (cube a)) (* a a)) (- 1 (cube (* 3 a)))) (* b b)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (sqr (- (sqr (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))))) (* (* (sqr (- (sqr (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* (* a a) (cube a)) (* a a)) (- 1 (cube (* 3 a)))) (* b b)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1235 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * * [misc]simplify: iters left: 4 (494 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b))))))) (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b))))))))) (* (* (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (sqr (- (* a a) (* b b))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b))))))) (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b))))))))) (* (* (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (sqr (- (* a a) (* b b))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (* (- 1 a) (- 1 a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1236 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (+ (* a a) (* (* a a) (cube a)))))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* 4 (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (+ (* a a) (* (* a a) (cube a)))))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* 4 (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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)))))))) (- (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 (88 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1237 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (477 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- 1 a) (- 1 a))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (+ (* a a) (* (* a a) (cube a))))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- 1 a) (- 1 a))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (+ (* a a) (* (* a a) (cube a))))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * * * * [misc]progress: [ 1238 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- 1 a) (- 1 a)))) (* (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* (* a a) (cube a)) (* a a)) (- 1 (cube (* 3 a)))) (* b b)))) (* (sqr (- (sqr (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (sqr (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- 1 a) (- 1 a)))) (* (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* (* a a) (cube a)) (* a a)) (- 1 (cube (* 3 a)))) (* b b)))) (* (sqr (- (sqr (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (sqr (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- 1 a) (- 1 a))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (sqr (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- 1 a) (- 1 a))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (sqr (+ (* a a) (* b b))))) * * * * [misc]progress: [ 1239 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * * [misc]simplify: iters left: 4 (453 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (* (* (- 1 (sqr (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))))) (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (* (* (- 1 (sqr (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))))) (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (* 3 a) 1) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (* 3 a) 1) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1240 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (- 1 (sqr (* 3 a))) (+ (* a a) (* (cube a) (* a a)))) (* b b)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))) (* (- 1 a) (- 1 a))) (* (* (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (- 1 (sqr (* 3 a))) (+ (* a a) (* (cube a) (* a a)))) (* b b)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))) (* (- 1 a) (- 1 a))) (* (* (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (44 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 1241 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * * [misc]simplify: iters left: 4 (452 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (* b b)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (* b b)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 1242 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (427 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (* b b))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (* b b))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1243 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (- 1 a))))) (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ a 1)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (- 1 a))))) (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 1244 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (400 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ a b) (- a b))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (- 1 a) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (- 1 a))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (- 1 (sqr (* 3 a))) (+ (* a a) (* (cube a) (* a a)))) (* b b)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ a b) (- a b))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (- 1 a) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (- 1 a))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (- 1 (sqr (* 3 a))) (+ (* a a) (* (cube a) (* a a)))) (* b b)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (- (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 (89 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1245 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (421 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (- 1 a))) (- 1 a)) (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (* (* (- 1 (sqr (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (* b b))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (- 1 a))) (- 1 a)) (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (* (* (- 1 (sqr (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (* b b))) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (- 1 a) (* (sqr (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (- 1 a)))) (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (- 1 a) (* (sqr (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (- 1 a)))) (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1246 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (433 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (* b b))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [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 (495 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 a) (- 1 a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (- 1 a) (- 1 a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * * * * [misc]progress: [ 1247 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (* (- 1 (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))))) (* (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (* (- 1 (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))))) (* (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1248 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (373 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* (sqr (- (sqr (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (sqr (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))))) (* (* (* (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* (sqr (- (sqr (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (sqr (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))))) (* (* (* (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (40 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a 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)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a 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)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1249 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b)))))))) (+ (* (sqr (cube (* (+ a 1) (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b)))))))) (+ (* (sqr (cube (* (+ a 1) (* a a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1250 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a))))))))) (* (* (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a))))))))) (* (* (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (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 (89 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1251 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (407 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a)))) (+ (* (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b)))))) (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b)))))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (- 1 a) (- 1 a)))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a)))) (+ (* (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b)))))) (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b)))))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (- 1 a) (- 1 a)))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (98 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 1252 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (355 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4))) (* (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4))) (* (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (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 (82 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* 3 a) (* 3 a)) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* 3 a) (* 3 a)) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 1253 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (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 (377 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (* 4 (* (- (cube (* a a)) (cube (* b b))) (- (cube (* a a)) (cube (* b b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (* 4 (* (- (cube (* a a)) (cube (* b b))) (- (cube (* a a)) (cube (* b b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (- 1 a) (- 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)))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (- 1 a) (- 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)))) * * * * [misc]progress: [ 1254 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (cube (* 3 a)))) (* b b)))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (cube (* 3 a)))) (* b b)))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1255 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (sqr (cube (* (* a a) (+ a 1)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (- (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (* b b))))))) (* (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- 1 a))) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (sqr (cube (* (* a a) (+ a 1)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (- (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (* b b))))))) (* (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- 1 a))) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1256 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (411 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* b b) (* a a))) (- 1 (sqr (* 3 a))))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- 1 a) (- 1 a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* b b) (* a a))) (- 1 (sqr (* 3 a))))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- 1 a) (- 1 a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (* 3 a) 1) (- 1 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (* 3 a) 1) (- 1 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * * * * [misc]progress: [ 1257 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * * [misc]simplify: iters left: 4 (456 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (* (sqr (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a))))))) (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- 1 a) (- 1 a))) (* (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (* (sqr (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a))))))) (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- 1 a) (- 1 a))) (* (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1258 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (sqr (- 1 a)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (sqr (- 1 a)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (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 (91 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1259 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (* b b)))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (* (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- 1 a)))) (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (* (+ a b) (- a b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (* b b)))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (* (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- 1 a)))) (* (* (+ (* 3 a) 1) (- 1 a)) (sqr (* (+ a b) (- a b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) * * * * [misc]progress: [ 1260 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (377 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* 4 (sqr (- (* a a) (* b b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* 4 (sqr (- (* a a) (* b b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1261 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (sqr (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* b b))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (+ (* 3 a) 1)) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (sqr (- (cube (* a a)) (cube (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (- 1 a))) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (sqr (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* b b))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (+ (* 3 a) 1)) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (sqr (- (cube (* a a)) (cube (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (- 1 a))) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1262 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (390 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (* (+ (* b b) (* a a)) (- (* a a) (* b b)))) 4) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (- 1 a)))) (* (sqr (+ (* b b) (* a a))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b)))) (* (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b)))) (sqr (- 1 a)))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (* (+ (* b b) (* a a)) (- (* a a) (* b b)))) 4) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (- 1 a)))) (* (sqr (+ (* b b) (* a a))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b)))) (* (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b)))) (sqr (- 1 a)))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 1263 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (* a a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))))) (+ (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- (* 1 1) (cube (* 3 a)))) (* (* b b) (- (* 1 1) (cube (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (* (* (* a a) (+ a 1)) (* b b)) (- (* 1 1) (cube (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (* (- (* (cube a) (cube a)) (cube (* b b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (sqr (cube (* (* a a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))))) (+ (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- (* 1 1) (cube (* 3 a)))) (* (* b b) (- (* 1 1) (cube (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (* (* (* a a) (+ a 1)) (* b b)) (- (* 1 1) (cube (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (* (- (* (cube a) (cube a)) (cube (* b b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1264 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (430 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (* 4 (- (sqr (cube a)) (cube (* b b)))) (- (sqr (cube a)) (cube (* b b)))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (* 4 (- (sqr (cube a)) (cube (* b b)))) (- (sqr (cube a)) (cube (* b b)))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (39 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1265 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * * [misc]simplify: iters left: 4 (490 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (cube (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))))) (+ (* (cube (* (* a a) (+ a 1))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (* a a) (+ a 1))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))))) (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* (* a a) (+ a 1)) (* b b)) (- 1 (cube (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))))) (+ (* (cube (* (* a a) (+ a 1))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (* a a) (+ a 1))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))))) (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1266 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (424 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))) (- (sqr (cube (* (* a a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))) (- (sqr (cube (* (* a a) (+ a 1)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1267 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (462 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (+ (* (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b)))))) (* (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b)))))))) (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (sqr (- (* a a) (* b b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (+ (* (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b)))))) (* (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b)))))))) (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (sqr (- (* a a) (* b b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (95 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1268 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (408 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) 4)) (* (+ (* (- (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a)))) (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (* (- 1 (* a a)) (* a a))) (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) 4)) (* (+ (* (- (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a)))) (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (* (- 1 (* a a)) (* a a))) (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (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 (79 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 1269 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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 (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- (cube (* a a)) (cube (* b b))) (* (- (cube (* a a)) (cube (* b b))) 4)) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- (cube (* a a)) (cube (* b b))) (* (- (cube (* a a)) (cube (* b b))) 4)) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 1270 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (425 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* 4 (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ a 1)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* 4 (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (- 1 a) (- 1 a)) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (- 1 a) (- 1 a)) (cube (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 1271 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * * [misc]simplify: iters left: 4 (447 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- 1 a))) (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1))))) (* (* (* (* (- (sqr (cube a)) (cube (* b b))) (* (- (sqr (cube a)) (cube (* b b))) 4)) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- 1 a))) (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1))))) (* (* (* (* (- (sqr (cube a)) (cube (* b b))) (* (- (sqr (cube a)) (cube (* b b))) 4)) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (+ (* 3 a) 1))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1272 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (412 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* 3 a) 1) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (- 1 (sqr (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- 1 a)) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* 3 a) 1) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (- 1 (sqr (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- 1 a)) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 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 (40 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* 3 a) 1) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* 3 a) 1) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1273 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ 1 (* 3 a))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a))))))) (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* 3 a) 1) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (sqr (+ (* b b) (* a a))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ 1 (* 3 a))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a))))))) (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* 3 a) 1) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (sqr (+ (* b b) (* a a))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (+ (* 3 a) 1)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (+ (* 3 a) 1)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1274 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (395 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1)))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (sqr (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1)))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (sqr (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (88 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (+ (* 3 a) 1))) * * * * [misc]progress: [ 1275 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * * [misc]simplify: iters left: 4 (445 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (* 3 a) 1)) (* (sqr (- 1 a)) (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (+ (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b)))))) (* (sqr (cube (* (+ a 1) (* a a)))) (sqr (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b)))))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (sqr (- 1 a)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (* 3 a) 1)) (* (sqr (- 1 a)) (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (+ (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b)))))) (* (sqr (cube (* (+ a 1) (* a a)))) (sqr (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b)))))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (sqr (- 1 a)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (97 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a)))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a)))) (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 1276 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (sqr (- (* a a) (* b b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (sqr (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1))) (* (+ (* (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (sqr (- (* a a) (* b b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (sqr (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1))) (* (+ (* (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (- (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 (81 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (429 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) 1)) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 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) 1)) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1277 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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 (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (401 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (* 4 (- (* (cube a) (cube a)) (cube (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (+ (* 3 a) 1) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (* 4 (- (* (cube a) (cube a)) (cube (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (+ (* 3 a) 1) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 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 (72 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (+ (* 3 a) 1))) * * * * [misc]progress: [ 1278 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (401 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (sqr (- 1 a))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))) (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (+ (* (+ (* 3 a) 1) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (sqr (- 1 a))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))) (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (+ (* (+ (* 3 a) 1) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (- 1 a)) (- (* (+ (* 3 a) 1) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [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 (414 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (- 1 a) (- 1 a)))) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (- 1 a) (- 1 a)))) (+ (* 3 a) 1))) * * * * [misc]progress: [ 1279 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * * [misc]simplify: iters left: 4 (493 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (* a a) (+ a 1)))))) (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1))) (* (sqr (* (- 1 (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a))))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a)))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a)))) (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (* 4 (- (sqr (cube a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (* a a) (+ a 1)))))) (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1))) (* (sqr (* (- 1 (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a))))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a)))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a)))) (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (* 4 (- (sqr (cube a)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (- (* a a) (- a 1)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (- (* a a) (- a 1)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 1280 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * * [misc]simplify: iters left: 4 (429 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (sqr (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (+ (* (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (* (- 1 (* a a)) (* a a)))))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) 4) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))) (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (sqr (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (+ (* (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (* (- 1 (* a a)) (* a a)))))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (- (sqr (cube a)) (* (cube b) (cube b))) 4) (- (sqr (cube a)) (* (cube b) (cube b)))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))) (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 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 (42 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1)))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1)))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1281 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * * [misc]simplify: iters left: 4 (460 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (* (* (- (* a a) (- a 1)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (* a a) (+ a 1)))) (cube (* (* a a) (+ a 1))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (* (* (- (* a a) (- a 1)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (+ (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (* a a) (+ a 1)))) (cube (* (* a a) (+ a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (- (* a a) (- a 1)) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (- (* a a) (- a 1)) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1282 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (429 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (+ (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (* (- 1 (* a a)) (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (* (cube b) (cube b))))) (+ (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (* (- 1 (* a a)) (* a a)))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1283 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * * [misc]simplify: iters left: 4 (447 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (- a b) (+ a b))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (- (* a a) (- a 1)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1)))) (* (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (* b b)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b)))))))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (- a b) (+ a b))) 4)) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (- (* a a) (- a 1)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1)))) (* (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (* b b)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b)))))))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1284 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (412 enodes) * [exit]simplify: Simplified to (+ (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- 1 a) (- 1 a))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1))) (sqr (* (- 1 (* a a)) (* a a))))))) (* (* (* (sqr (* (- a b) (+ a b))) 4) (- (sqr (cube (* (* a a) (+ a 1)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1)))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- 1 a) (- 1 a))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1))) (sqr (* (- 1 (* a a)) (* a a))))))) (* (* (* (sqr (* (- a b) (+ a b))) 4) (- (sqr (cube (* (* a a) (+ a 1)))) (sqr (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1)))) (* (- 1 a) (- 1 a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (- (* a a) (- a 1)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (- (* a a) (- a 1)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1285 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (431 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (* 4 (- (sqr (cube a)) (* (cube b) (cube b)))))) (* (- (* a a) (- a 1)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (* (+ (* (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (* b b)))))) (* (- 1 a) (- 1 a))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a))))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (* 4 (- (sqr (cube a)) (* (cube b) (cube b)))))) (* (- (* a a) (- a 1)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (* (+ (* (- (* (- (* a a) (- a 1)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (* b b)))))) (* (- 1 a) (- 1 a))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a))))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (* (- (* a a) a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (* (- (* a a) a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 1286 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- 1 a) (- 1 a))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (+ (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (* (- 1 (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- 1 a) (- 1 a))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (+ (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (- (* a a) (- a 1))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (* (- 1 (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 1287 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (399 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (+ (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* b b) (* a a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (+ (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* b b) (* a a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (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 (213 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 1288 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- (cube (* a a)) (cube (* b b))) (* 4 (- (cube (* a a)) (cube (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a)) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- (cube (* a a)) (cube (* b b))) (* 4 (- (cube (* a a)) (cube (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a)) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 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 (39 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1289 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a)))) (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ a 1) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a)))) (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ a 1) (* a a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))))) * * * * [misc]progress: [ 1290 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* 4 (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a))))) (- (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* 4 (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a))))) (- (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (- 1 a) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- 1 a) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (- 1 a) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- 1 a) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1291 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (359 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (sqr (- (* a a) (* b b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (sqr (- (* a a) (* b b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (89 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1292 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* (+ (* (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (* (- 1 a) (sqr (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* (+ (* (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (sqr (- (sqr (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (* (- 1 a) (sqr (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (- (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 (73 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (380 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- 1 a) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- 1 a) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 1293 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a)) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a)) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- 1 a) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- 1 a) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (* (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1294 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* 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 a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 1295 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (85 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * * [misc]simplify: iters left: 4 (497 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ 1 (* 3 a)) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (* a a) (cube a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))))) (* (+ (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) 4)) (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ 1 (* 3 a)) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (* a a) (cube a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))))) (* (+ (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) 4)) (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1296 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (469 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (+ (* (- (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a)))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (+ (* (- (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a)))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a)))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 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 (44 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1297 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * * [misc]simplify: iters left: 4 (498 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (sqr (* (cube a) (cube a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ 1 (* 3 a)) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))))) (* (* (sqr (- (sqr (* (cube a) (cube a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (* a a) (cube a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (sqr (+ (* b b) (* a a))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ 1 (* 3 a)) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (- 1 a) (- 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (sqr (* (cube a) (cube a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ 1 (* 3 a)) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))))) (* (* (sqr (- (sqr (* (cube a) (cube a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (* a a) (cube a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (sqr (+ (* b b) (* a a))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ 1 (* 3 a)) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (- 1 a) (- 1 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1298 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (459 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a)))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 a) (- 1 a)) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a)))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a)))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 a) (- 1 a)) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a)))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1299 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * * [misc]simplify: iters left: 4 (480 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1))))) (+ (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a)))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1)))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (cube (* b b)))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ a 1))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1))))) (+ (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a)))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1)))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (cube (* b b)))))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ a 1))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 1300 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (432 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ a b) (- a b))) 4))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ a b) (- a b))) 4))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (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 (89 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1301 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (465 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* 4 (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* 4 (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1302 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (460 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (+ (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (* a a) (cube a)) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (+ (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (sqr (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (* a a) (cube a)) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (* (- 1 a) (- 1 a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1))) (* (- 1 a) (- 1 a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1303 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ a 1) (* a a)))))) (+ (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a))))) (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a)))))) (* (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ a 1) (* a a)))))) (+ (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a))))) (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a)))))) (* (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1304 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (399 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a))))) (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (- 1 (sqr (* 3 a))))) (* (sqr (- 1 a)) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))))))) (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a))))) (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (- 1 (sqr (* 3 a))))) (* (sqr (- 1 a)) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))))))) (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1305 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * * [misc]simplify: iters left: 4 (462 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a))))) (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))))) (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))))) (* (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (- 1 a)) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a))))) (* (* (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (cube (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))))) (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))))) (* (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (- 1 a)) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1306 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (390 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (- 1 (sqr (* 3 a))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (- 1 a)) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (- 1 (sqr (* 3 a))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (- 1 a)) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (88 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1307 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (- 1 a)))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a)))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (* (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (sqr (- 1 a)) (sqr (- (* a a) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (- 1 a)))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a)))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (* (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (sqr (- 1 a)) (sqr (- (* a a) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (97 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1308 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (377 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a))))) (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (sqr (- 1 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)))) (sqr (- (* a a) (* b b))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4)))) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a))))) (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (sqr (- 1 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)))) (sqr (- (* a a) (* b b))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (- (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 (81 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 1309 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (410 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (* (* 4 (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (sqr (- 1 a)) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (* (* 4 (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (sqr (- 1 a)) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1310 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- 1 a)) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (* (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (sqr (+ (* b b) (* a a))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- 1 a)) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (* (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (sqr (+ (* b b) (* a a))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1311 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr 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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (79 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * * [misc]simplify: iters left: 4 (459 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (sqr (cube (* (* a a) (+ a 1)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (- 1 (* a a)) (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (- 1 (* a a)) (* (* b b) (* a a))) (- 1 (cube (* 3 a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a)))))) (* (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (* (- 1 a) (- 1 a))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (sqr (cube (* (* a a) (+ a 1)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (- 1 (* a a)) (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (- 1 (* a a)) (* (* b b) (* a a))) (- 1 (cube (* 3 a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a)))))) (* (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (* (- 1 a) (- 1 a))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 1312 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (416 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (- 1 (* a a)) (* (* b b) (* a a))) (- 1 (cube (* 3 a))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (- 1 (* a a)) (* (* b b) (* a a))) (- 1 (cube (* 3 a))))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1313 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * * [misc]simplify: iters left: 4 (464 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))))) (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))))) (* (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))) (* (* (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (* (- 1 a) (- 1 a))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))))) (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))))) (* (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))) (* (* (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (* (- 1 a) (- 1 a))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (* (sqr (cube (* (* a a) (+ 1 a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (* (sqr (cube (* (* a a) (+ 1 a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1314 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (397 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)))) (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b)))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)))) (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b)))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (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 (91 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1315 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (430 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (sqr (cube (* a a))) (cube (* (* b b) (* b b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (sqr (- (sqr (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (sqr (- (* a a) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (sqr (cube (* a a))) (cube (* (* b b) (* b b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (sqr (- (sqr (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* 4 (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (sqr (- (* a a) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (+ (* 3 a) 1) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)))))) * * * * [misc]progress: [ 1316 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (385 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (sqr (- (* a a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (sqr (- (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1317 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (420 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a)))) (- 1 (cube (* 3 a))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* a a)) (cube (* b b))) (* 4 (- (cube (* a a)) (cube (* b b)))))) (* (* (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a)))) (- 1 (cube (* 3 a))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* a a)) (cube (* b b))) (* 4 (- (cube (* a a)) (cube (* b b)))))) (* (* (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a))) (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a))) (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1318 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (398 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (sqr (+ (* b b) (* a a))) (+ (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (sqr (* (- 1 (* a a)) (* a a))) (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b)))))) (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) (* (sqr (+ (* b b) (* a a))) (+ (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (sqr (* (- 1 (* a a)) (* a a))) (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b)))))) (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 a) (- 1 a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) * * * * [misc]progress: [ 1319 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * * [misc]simplify: iters left: 4 (400 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (sqr (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (+ (* (- (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))))) (sqr (- 1 a))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a))))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) 4) (- (sqr (cube a)) (* (cube b) (cube b))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (sqr (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (+ (* (- (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))))) (sqr (- 1 a))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a))))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) 4) (- (sqr (cube a)) (* (cube b) (cube b))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * * * * [misc]progress: [ 1320 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (360 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (- (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a)))) (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (- (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a)))) (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 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 (36 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) * * * * [misc]progress: [ 1321 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (398 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (+ (* (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (- 1 (sqr (* 3 a))))) (* (- 1 a) (- 1 a))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a))))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a))))) (sqr (+ (* b b) (* a a))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1))) (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (+ (* (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (- 1 (sqr (* 3 a))))) (* (- 1 a) (- 1 a))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a))))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a))))) (sqr (+ (* b b) (* a a))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1))) (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (207 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (* (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* a a) (* b b))))) * * * * [misc]progress: [ 1322 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) 4) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b)))))))) (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b)))))) (* (- (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (- 1 (sqr (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b)))) (* (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b)))) (* (- 1 a) (- 1 a)))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) 4) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b)))))))) (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b)))))) (* (- (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (- 1 (sqr (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b)))) (* (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b)))) (* (- 1 a) (- 1 a)))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (80 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* a a) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 1323 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (sqr (- 1 a)) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))))) (* (+ (* (- (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (sqr (- 1 a)) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))))) (* (+ (* (- (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (89 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1324 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 1325 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (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 (363 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (- (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (sqr (- 1 a))))))) (* (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4)) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (- (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (* (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))) (sqr (- 1 a))))))) (* (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4)) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (- 1 a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 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 (64 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (- 1 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (- 1 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) * * * * [misc]progress: [ 1326 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (350 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* b b) (* a a))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (* (* (* (* (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* b b) (* a a))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) (* (* (* (* (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 a) (- 1 a))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (sqr (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 a) (- 1 a))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (sqr (+ (* a a) (* b b))))) * * * * [misc]progress: [ 1327 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * * [misc]simplify: iters left: 4 (489 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- 1 a))) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a))))))) (* (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (sqr (* (- 1 (* a a)) (* a a))) (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (- (cube (* a a)) (cube (* b b))) (* (- (cube (* a a)) (cube (* b b))) 4))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- 1 a))) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a))))))) (* (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (sqr (* (- 1 (* a a)) (* a a))) (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (- (cube (* a a)) (cube (* b b))) (* (- (cube (* a a)) (cube (* b b))) 4))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a)))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1328 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (457 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (sqr (- (sqr (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (sqr (- (sqr (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ a 1) (* a a)))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (+ (* (* (sqr (- (sqr (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (sqr (- (sqr (* (cube a) (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ a 1) (* a a)))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (40 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1329 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (494 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (* (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- 1 a))))) (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (* (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- 1 a))))) (+ (* (* (sqr (+ (* b b) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))) (* (* (sqr (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1330 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (440 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4) (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a))))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4) (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (88 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1331 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * * [misc]simplify: iters left: 4 (498 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- 1 a)) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a)))))))) (+ (* (sqr (cube (* (+ a 1) (* a a)))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- 1 a)) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a)))))))) (+ (* (sqr (cube (* (+ a 1) (* a a)))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) (* (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* 4 (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (97 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1332 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (sqr (- (* a a) (* b b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (* (* (+ (* (+ (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (- 1 a)) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (sqr (- (* a a) (* b b)))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (* (* (+ (* (+ (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (- 1 a)) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (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 (81 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1333 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (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 (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (446 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (* (* 4 (sqr (- (sqr (cube a)) (cube (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a))))))))))) * [exit]simplify: Simplified to (+ (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (* (* 4 (sqr (- (sqr (cube a)) (cube (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a))))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 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 (72 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1334 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (443 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (+ (* (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a)))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* b b) (* a a))) (+ (* (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ a 1) (* a a))) (- 1 (cube (* 3 a)))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 1335 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (401 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (sqr (- 1 a)) (cube (+ (* 3 a) 1))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* a a) (+ a 1))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (sqr (- 1 a)) (cube (+ (* 3 a) 1))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b)))))) (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* a a) (+ a 1))))) (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (98 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 1336 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- 1 a)) (cube (+ (* 3 a) 1))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (sqr (- (sqr (cube a)) (* (cube b) (cube b))))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* a a) (+ a 1))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- 1 a)) (cube (+ (* 3 a) 1))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (sqr (- (sqr (cube a)) (* (cube b) (cube b))))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* a a) (+ a 1))))) (* (sqr (- 1 a)) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 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 (82 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 1337 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (cube (+ (* 3 a) 1))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))) (* (sqr (cube (* (* a a) (+ a 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (sqr (* 3 a)))) (* (* (* a a) (+ a 1)) (* b b))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (cube (+ (* 3 a) 1))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))) (* (sqr (cube (* (* a a) (+ a 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (sqr (* 3 a)))) (* (* (* a a) (+ a 1)) (* b b))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1338 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (340 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (sqr (* 3 a)))) (* (* (* a a) (+ a 1)) (* b b))))))) (* (* (* (* (sqr (- 1 a)) (cube (+ (* 3 a) 1))) (* (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4)) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (sqr (* 3 a)))) (* (* (* a a) (+ a 1)) (* b b))))))) (* (* (* (* (sqr (- 1 a)) (cube (+ (* 3 a) 1))) (* (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4)) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * * * * [misc]progress: [ 1339 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (377 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- 1 a)) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (cube (+ (* 3 a) 1)) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ a 1))))))) (* (+ (* (sqr (- 1 a)) (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* a a) (+ a 1)))))) (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1)))) (+ (* (* (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))) (* (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- 1 a)) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (cube (+ (* 3 a) 1)) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ a 1))))))) (* (+ (* (sqr (- 1 a)) (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* a a) (+ a 1)))))) (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1)))) (+ (* (* (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))) (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))) (* (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (86 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 1340 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- 1 a)) (cube (+ (* 3 a) 1)))) (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (* a a) (+ a 1)) (* b b))) (- 1 (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (sqr (- 1 a)) (cube (+ (* 3 a) 1)))) (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (* (sqr (- (sqr (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (* a a) (+ a 1)) (* b b))) (- 1 (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (- (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 (70 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 1341 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (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 (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* a a) (+ a 1))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- 1 a)))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* 4 (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (cube (+ (* 3 a) 1))) (* (sqr (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* a a) (+ a 1))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (- 1 a)))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (* 4 (* (- (* (cube a) (cube a)) (cube (* b b))) (- (* (cube a) (cube a)) (cube (* b b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (cube (+ (* 3 a) 1))) (* (sqr (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (* 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) (- 1 a)) (cube (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 1342 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (356 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* a a) (+ a 1))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (cube (+ (* 3 a) 1))) (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))) (* 4 (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))) (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (* b b))) (+ (* 3 a) 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* a a) (+ a 1))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (cube (+ (* 3 a) 1))) (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))) (* 4 (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (- 1 a) (- 1 a)) (cube (+ 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * * * * [misc]progress: [ 1343 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * * [misc]simplify: iters left: 4 (461 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (+ (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (cube a)) (* a a))))))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1))) (* (* (- (sqr (cube a)) (sqr (cube b))) 4) (- (sqr (cube a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (+ (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (cube a)) (* a a))))))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1))) (* (* (- (sqr (cube a)) (sqr (cube b))) 4) (- (sqr (cube a)) (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 1344 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (428 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (sqr (cube a)) (sqr (cube b)))) 4) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (* (* (sqr (- (sqr (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (cube a)) (* a a)))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (sqr (* (- 1 (* a a)) (* a a)))) (sqr (- (sqr (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (sqr (cube a)) (sqr (cube b)))) 4) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (* (* (sqr (- (sqr (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (cube a)) (* a a)))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (sqr (* (- 1 (* a a)) (* a a)))) (sqr (- (sqr (sqr (cube a))) (* (sqr (cube b)) (sqr (cube b))))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (39 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- (* a a) (- a 1))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- (* a a) (- a 1))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1345 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * * [misc]simplify: iters left: 4 (462 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4))) (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (cube a)) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (sqr (* (- 1 (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4))) (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (cube a)) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (sqr (* (- 1 (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1346 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (410 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (sqr (* (- 1 (* a a)) (* a a)))) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b)))))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* a a) (* (* a a) (cube a)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b)))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (sqr (* (- 1 (* a a)) (* a a)))) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b)))))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* a a) (* (* a a) (cube a)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (sqr (cube (* a a))) (sqr (* (cube b) (cube b)))))))) (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (* a a) (- a 1)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (* a a) (- a 1)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1347 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * * [misc]simplify: iters left: 4 (463 enodes) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (cube a)) (* a a)))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (sqr (* (- 1 (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b)))))))) (* (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (cube a)) (* a a)))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (sqr (* (- 1 (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b)))))))) (* (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (94 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1348 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (393 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (sqr (- (* a a) (* b b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (+ (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (* b b)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (sqr (- (* a a) (* b b)))) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (+ (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (* b b)))))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (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 (78 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (+ (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (- (* a a) a)))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (+ (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (- (* a a) a)))) * * * * [misc]progress: [ 1349 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (422 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1)))) (* (* 4 (sqr (- (sqr (cube a)) (sqr (cube b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (- (* (- (* a a) (- a 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* a a) (* (* a a) (cube a)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (sqr (* (- 1 (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1)))) (* (* 4 (sqr (- (sqr (cube a)) (sqr (cube b))))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (- (* (- (* a a) (- a 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* a a) (* (* a a) (cube a)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (sqr (* (- 1 (* a a)) (* a a)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (- (* a a) a) 1) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (- (* a a) a) 1) (* (* (* (- 1 a) (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 1350 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (cube a)) (* a a))))))) (sqr (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (cube a)) (* a a))))))) (sqr (+ (* b b) (* a a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (* (* (+ (* a a) (* b b)) (* (* (- 1 a) (- 1 a)) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (* (* (+ (* a a) (* b b)) (* (* (- 1 a) (- 1 a)) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1351 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))) (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (- (cube (* a a)) (cube (* b b)))) (* 4 (- (cube (* a a)) (cube (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a)))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))) (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (- (cube (* a a)) (cube (* b b)))) (* 4 (- (cube (* a a)) (cube (* b b)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a))))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a)))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (92 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 1352 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (sqr (- (* (cube a) (cube a)) (cube (* b b))))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* b b)))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (sqr (- (* (cube a) (cube a)) (cube (* b b))))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* b b)))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 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 (76 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 1353 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))))) (* (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ a 1) (* a a))))))) (* (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1354 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* b b) (- 1 (* 3 a)))) (* (- 1 (* a a)) (* a a)))) (* (sqr (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b)))))))) (* (* 4 (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* b b) (- 1 (* 3 a)))) (* (- 1 (* a a)) (* a a)))) (* (sqr (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a)))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (sqr (* (cube a) (cube a))) (* (cube (* b b)) (cube (* b b)))))))) (* (* 4 (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [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 (463 enodes) * [exit]simplify: Simplified to (* (* (* (* (cube (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (cube (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1355 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (343 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ a 1))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (+ (sqr (cube (* (* a a) (+ a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ a 1))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* (+ (* (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (- 1 a) (- 1 a)) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (+ (sqr (cube (* (* a a) (+ a 1)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (80 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (- 1 a) (- 1 a)) (- 1 a))) (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (- 1 a) (- 1 a)) (- 1 a))) (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1356 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* 3 a) 1) (- 1 a)) (+ (* 3 a) 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1)))) (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (* (+ (* 3 a) 1) (- 1 a)) (+ (* 3 a) 1))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (- (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 (64 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (cube (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (cube (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 1357 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a)))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (cube (* (* a a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (cube (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (cube (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 1358 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (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 (306 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (* (* (* (* (- (* a a) (* b b)) (+ (* b b) (* a a))) (* (- (* a a) (* b b)) (+ (* b b) (* a a)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ a 1))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * * * * [misc]progress: [ 1359 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (- 1 (* a a)) (* a a))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))))))) (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b)))))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1360 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (- 1 a) (- 1 a))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))))) (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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))))) (- (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 (95 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (- 1 a)) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (- 1 a)) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1361 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (393 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (- 1 a) (- 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))))) (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (+ (* (- (sqr (cube (* a a))) (cube (* (* b b) (* b b)))) (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (- 1 a) (- 1 a)) (- (sqr (cube (* a a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (sqr (* (- 1 (* a a)) (* a a))) (sqr (- (sqr (cube (* a a))) (cube (* (* b b) (* b b)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (- 1 a) (- 1 a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))))) (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (sqr (+ (* b b) (* a a))) (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (+ (* (- (sqr (cube (* a a))) (cube (* (* b b) (* b b)))) (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (- 1 a) (- 1 a)) (- (sqr (cube (* a a))) (cube (* (* b b) (* b b))))))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (sqr (* (- 1 (* a a)) (* a a))) (sqr (- (sqr (cube (* a a))) (cube (* (* b b) (* b b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (sqr (+ (* a a) (* b b)))) (* (* (sqr (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (sqr (+ (* a a) (* b b)))) (* (* (sqr (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1362 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (344 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a))))) (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a))))) (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (+ (* (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (+ (+ (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (+ (+ (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1363 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))))) (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (- 1 a) (- 1 a)) (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b)))))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (* a a) (* b b))) 4))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))))) (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (* (- 1 a) (- 1 a)) (sqr (- (sqr (cube (* a a))) (sqr (cube (* b b)))))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- 1 a) (- 1 a)))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (* a a) (* b b))) 4))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (99 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (- 1 a) (- 1 a)) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1364 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (315 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (- a b) (+ a b))) 4))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (- 1 a) (- 1 a))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (- a b) (+ a b))) 4))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (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 (83 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1365 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* 4 (- (sqr (cube a)) (cube (* b b)))) (- (sqr (cube a)) (cube (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (* (- 1 a) (- 1 a)) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))))) (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* 4 (- (sqr (cube a)) (cube (* b b)))) (- (sqr (cube a)) (cube (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (* (- 1 a) (- 1 a)) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (* (cube (* b b)) (cube (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))))) (* (* (sqr (- (* (sqr (cube a)) (sqr (cube a))) (* (cube (* b b)) (cube (* b b))))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (35 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1366 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (339 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (- (cube (sqr (* a a))) (sqr (* (cube b) (cube b))))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))) (sqr (+ (* b b) (* a a)))) (* (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (+ (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (* b b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ a 1) (* a a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (sqr (* (* b b) (- 1 (* 3 a))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (* a a) (* b b))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (sqr (* (* b b) (- 1 (* 3 a))))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (* a a) (* b b))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1367 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (370 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (* 4 (- (* (cube a) (cube a)) (cube (* b b))))) (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1)))))) (* (* (+ (* (* (sqr (- 1 a)) (sqr (* (- 1 (* 3 a)) (* b b)))) (- (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (* a a) (+ a 1))))) (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* a a)) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ a 1))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (cube (* b b))) (* 4 (- (* (cube a) (cube a)) (cube (* b b))))) (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1)))))) (* (* (+ (* (* (sqr (- 1 a)) (sqr (* (- 1 (* 3 a)) (* b b)))) (- (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (* a a) (+ a 1))))) (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* a a)) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ a 1))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (100 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1368 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))))) (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (sqr (- 1 a))) (* (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1)))) (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (+ (* (* b b) (* b b)) (sqr (* a a))) (* (* b b) (* b b))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))))) (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (+ (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (sqr (- 1 a))) (* (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1)))) (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (- (* (cube (* a a)) (cube (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 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))))) (- (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 (84 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1369 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (389 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1)))) (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))) (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (* a a) (+ a 1)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (* (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1)))) (sqr (* (- (* a a) (* b b)) (+ (* b b) (* a a)))))) (* (+ (cube (cube (* (* a a) (+ a 1)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (* a a) (+ a 1)))))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))) (* (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1)))))) (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1370 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (sqr (- (sqr (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (- (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (* a a) (+ a 1))))) (* (sqr (- (sqr (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))) (sqr (- 1 a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (sqr (- (sqr (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))) (sqr (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (- (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (* a a) (+ a 1))))) (* (sqr (- (sqr (* (cube a) (cube a))) (sqr (* (cube b) (cube b))))) (sqr (- 1 a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))))) (* (* (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1371 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * * [misc]simplify: iters left: 4 (352 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (sqr (- 1 a)))) (* (* (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (* (sqr (* (- a b) (+ a b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1))))))) (* (* (+ (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr (- 1 a)) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))) (- (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))))) (* (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* a a)) (* a a)))))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (sqr (- 1 a)))) (* (* (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (* (sqr (* (- a b) (+ a b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ a 1))))))) (* (* (+ (* (cube (* (* a a) (+ a 1))) (cube (* (* a a) (+ a 1)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (* (sqr (- 1 a)) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))) (- (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))))) (* (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* a a)) (* a a)))))) (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (88 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1372 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) 4) (* (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))))) (* (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* a a)) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) 4) (* (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (- (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))))) (* (* (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* a a)) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (- (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 (72 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (- 1 (* 3 a))) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (- 1 (* 3 a))) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1373 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (cube a) (cube a)) (sqr (cube b)))))) (* 4 (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (sqr (- 1 a)))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (cube a) (cube a)) (sqr (cube b)))))) (* 4 (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ a 1)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (sqr (- 1 a)))) (* (sqr (* (- 1 (* a a)) (* a a))) (* (sqr (- (cube (sqr (* a a))) (* (sqr (cube b)) (sqr (cube b))))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 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 (31 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 1374 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (* (- (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))) (* (- 1 (* 3 a)) (* b b))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* a a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- 1 (* a a)) (* a a)))) (* (* (* (- (* (- 1 (* 3 a)) (* b b)) (* (* a a) (+ a 1))) (* (- 1 (* 3 a)) (* b b))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (* a a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))) (sqr (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (* (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (+ (* a a) (* b b))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (* (* (* (* (* (- 1 a) (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (+ (* a a) (* b b))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 1375 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))))) (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* 4 (- (sqr (cube a)) (* (cube b) (cube b)))) (- (sqr (cube a)) (* (cube b) (cube b)))) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))))) (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr (cube a)) (sqr (cube a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* 4 (- (sqr (cube a)) (* (cube b) (cube b)))) (- (sqr (cube a)) (* (cube b) (cube b)))) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1376 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (* 4 (- (sqr (cube a)) (cube (* b b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (* 4 (- (sqr (cube a)) (cube (* b b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (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 (38 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (* (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1377 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))))) (* (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (sqr (+ (* b b) (* a a))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))))) (* (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (* (sqr (+ (* b b) (* a a))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1378 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))))) (* (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))))) (* (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1379 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a)))))) (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))))))) (* (sqr (- (cube (sqr (* a a))) (sqr (cube (* b b))))) (* (+ (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (+ (sqr (cube (* (+ a 1) (* a a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1380 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))))) (* (- (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (sqr (cube (* (+ a 1) (* a a)))) (cube (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))))) (* (- (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (sqr (cube (* (+ a 1) (* a a)))) (cube (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 1381 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (+ (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (cube (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (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 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 1382 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (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 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (+ (* b b) (* a a))) (+ (cube (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (- (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (+ (* b b) (* a a))) (+ (cube (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (cube (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))))) (sqr (- (* (cube (* a a)) (cube (* a a))) (* (cube (* b b)) (cube (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * [exit]simplify: Simplified to (* (* (- (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (* (* (sqr (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b))) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * * * * [misc]progress: [ 1383 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (307 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* (* 4 (- (cube (* a a)) (cube (* b b)))) (- (cube (* a a)) (cube (* b b)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (- (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))) (* (* 4 (- (cube (* a a)) (cube (* b b)))) (- (cube (* a a)) (cube (* b b)))))) (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (- (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (94 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (* (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1384 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))))) (* (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4)))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))))) (* (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (- (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (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 (34 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1385 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) (* (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (sqr (+ (* b b) (* a a))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) (* (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (sqr (- (* (cube (* a a)) (cube (* a a))) (sqr (cube (* b b))))) (sqr (+ (* b b) (* a a))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (sqr (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (sqr (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1386 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * * * * [misc]progress: [ 1387 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (+ (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))))) (* (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))))) (* (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4) (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 1388 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (sqr (- (* a a) (* b b))))) (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (- (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube (* (+ a 1) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (sqr (- (* a a) (* b b))))) (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))))) (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (- (sqr (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (* (- (sqr (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 1389 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (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 (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* 4 (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* 4 (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))) (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (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 (136 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (* (* (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (+ (* (* 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) (* a a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 1390 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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 (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [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 (+ (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (+ (* b b) (* a a))))) (* (* (* (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))))) (* (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b))))) (sqr (+ (* b b) (* a a))))) (* (* (* (* (* (+ (* b b) (* a a)) (- (* a a) (* b b))) (* (+ (* b b) (* a a)) (- (* a a) (* b b)))) 4) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (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)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (sqr (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (* (* (- (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ 1 a) (* a a))))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (sqr (+ (* a a) (* b b))))) * * * * [misc]progress: [ 1391 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (465 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (+ (* a a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b))))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) (* (* (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (+ (* a a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b))))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) (* (* (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1392 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (421 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))))) (* (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))))) (* (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (38 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1393 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (469 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (* a a) (* (cube a) (* a a))) (* b b)) (- 1 (cube (* 3 a))))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* a a) (* b b))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (* a a) (* (cube a) (* a a))) (* b b)) (- 1 (cube (* 3 a))))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* a a) (* b b))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (sqr (+ (* a a) (sqr b)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (sqr (+ (* a a) (sqr b)))) * * * * [misc]progress: [ 1394 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b)))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b)))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- (* a a) (- a 1)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- (* a a) (- a 1)) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1395 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (- (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (* a a) (* (cube a) (* a a))) (* b b)) (- 1 (cube (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* 4 (sqr (* (+ b a) (- a b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (- (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (* a a) (* (cube a) (* a a))) (* b b)) (- 1 (cube (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* 4 (sqr (* (+ b a) (- a b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 1396 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* a a) (* (cube a) (* a a))) (* b b)) (- 1 (cube (* 3 a))))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* a a) (* (cube a) (* a a))) (* b b)) (- 1 (cube (* 3 a))))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1397 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))))) (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* a a) (* (cube a) (* a a))) (* b b)) (- 1 (cube (* 3 a)))))))) (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))))) (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* a a) (* (cube a) (* a a))) (* b b)) (- 1 (cube (* 3 a)))))))) (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [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 (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (* a a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (* a a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1398 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (- 1 (cube (* 3 a)))) (* b b))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (- 1 (cube (* 3 a)))) (* b b))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (- (* a a) a) 1) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (- (* a a) a) 1) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (sqr (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1399 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * * [misc]simplify: iters left: 4 (433 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4)) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4)) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1400 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 (* (* 3 a) (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 (* (* 3 a) (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b)))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (39 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1401 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * * [misc]simplify: iters left: 4 (427 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (* a a) (* (cube a) (* a a))) (* b b)) (- 1 (* (* 3 a) (* 3 a)))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (* a a) (* (cube a) (* a a))) (* b b)) (- 1 (* (* 3 a) (* 3 a)))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1402 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (+ (* a a) (* (cube a) (* a a))) (- 1 (* (* 3 a) (* 3 a)))) (* b b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (+ (* a a) (* (cube a) (* a a))) (- 1 (* (* 3 a) (* 3 a)))) (* b b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1403 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* 4 (* (* (- a b) (+ b a)) (* (- a b) (+ b a)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* 4 (* (* (- a b) (+ b a)) (* (- a b) (+ b a)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (95 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1404 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* 4 (sqr (- (* a a) (* b b)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* 4 (sqr (- (* a a) (* b b)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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)))))) (- (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 (79 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1405 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (382 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (* (cube a) (* a a)) (* a a)))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* b b)) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (* (cube a) (* a a)) (* a a)))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1406 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* b b)) (- 1 (* (* 3 a) (* 3 a))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* b b)) (- 1 (* (* 3 a) (* 3 a))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1407 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * * [misc]simplify: iters left: 4 (450 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (sqr (cube b))) (* (- (cube (* a a)) (sqr (cube b))) 4)) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))))) (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (sqr (cube b))) (* (- (cube (* a a)) (sqr (cube b))) 4)) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))))) (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ 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 a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ 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 a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1408 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (405 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- (* a a) (- a 1)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- (* a a) (- a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (39 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1409 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * * [misc]simplify: iters left: 4 (444 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) (* (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- (* a a) (- a 1)))) (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) (* (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- (* a a) (- a 1)))) (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1410 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)) (* (* (- 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))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1411 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * * [misc]simplify: iters left: 4 (432 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (* (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- (* a a) (- a 1))))) (* (* (- a b) (+ b a)) (* (- a b) (+ b a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (* (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- (* a a) (- a 1))))) (* (* (- a b) (+ b a)) (* (- a b) (+ b a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (94 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1412 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (376 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- (* a a) (- a 1)))) (sqr (- (* a a) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- (* a a) (- a 1)))) (sqr (- (* a a) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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)))))))) (- (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 (78 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1413 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (399 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) b)) b))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a))) (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- (* a a) (- a 1)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) b)) b))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a))) (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- (* a a) (- a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (191 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1414 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* a a) (- a 1))) (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))))) (* (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* a a) (- a 1))) (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))))) (* (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- (* a a) (- a 1)))) (- (* a a) (- a 1)))) * [exit]simplify: Simplified to (* (* (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- (* a a) (- a 1)))) (- (* a a) (- a 1)))) * * * * [misc]progress: [ 1415 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * * [misc]simplify: iters left: 4 (431 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (- 1 a)))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a)))))))) (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (- 1 a))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (- 1 a)))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a)))))))) (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (- 1 a))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- 1 a) (+ (* 3 a) 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- 1 a) (+ (* 3 a) 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1416 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (396 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* 3 a) 1) (- 1 a)))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* (* a a) b))) b)))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* 3 a) 1) (- 1 a))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* 3 a) 1) (- 1 a)))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* (* a a) b))) b)))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* 3 a) 1) (- 1 a))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (* 3 a) 1)) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (* 3 a) 1)) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a)))) * * * * [misc]progress: [ 1417 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (- 1 a) (+ (* 3 a) 1))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* a a) (* b b))))) (* (* (* 4 (* (* (- (* a a) (* b b)) (+ (* a a) (* b b))) (* (- (* a a) (* b b)) (+ (* a a) (* b b))))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (- 1 a) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (- 1 a) (+ (* 3 a) 1))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* a a) (* b b))))) (* (* (* 4 (* (* (- (* a a) (* b b)) (+ (* a a) (* b b))) (* (- (* a a) (* b b)) (+ (* a a) (* b b))))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (- 1 a) (+ (* 3 a) 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (+ (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1418 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (375 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* 3 a) 1) (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b))))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* 3 a) 1) (- 1 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* 3 a) 1) (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b))))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* 3 a) 1) (- 1 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (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 (88 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1419 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * * [misc]simplify: iters left: 4 (430 enodes) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (* (* 3 a) (* 3 a)))) (* b b))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a)))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (* a a) (* b b))) 4)))) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (* (* 3 a) (* 3 a)))) (* b b))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a)))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (* a a) (* b b))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (97 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (* (- 1 a) (* 3 a)) (- 1 a))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (* (- 1 a) (* 3 a)) (- 1 a))))) * * * * [misc]progress: [ 1420 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (363 enodes) * [exit]simplify: Simplified to (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b))))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (- 1 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ b a) (- a b))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (- 1 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 (* (* 3 a) (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b))))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (- 1 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ b a) (- a b))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (- 1 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (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 (81 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* 3 a) 1) (- 1 a)))) (* (* (+ 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 (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* 3 a) 1) (- 1 a)))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1421 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* b (* (- 1 (* a a)) (* (* a a) b))) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (- 1 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) (* (* (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* b (* (- 1 (* a a)) (* (* a a) b))) (- 1 (* (* 3 a) (* 3 a))))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (- 1 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) (* (* (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* 3 a) 1) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (180 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1422 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (369 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (- 1 a) (+ (* 3 a) 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a))))))))) (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (- 1 a) (+ (* 3 a) 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (- 1 a) (+ (* 3 a) 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (* (* 3 a) (* 3 a))))))))) (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (- 1 a) (+ (* 3 a) 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (377 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) * * * * [misc]progress: [ 1423 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * * [misc]simplify: iters left: 4 (486 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* b b) (* (+ 1 a) (* a a))) (- 1 (cube (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* b b) (* (+ 1 a) (* a a))) (- 1 (cube (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1424 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (441 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) (* (* (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) (* (* (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1425 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * * [misc]simplify: iters left: 4 (480 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (98 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1426 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (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 (82 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1427 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (475 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (sqr (- (* a a) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (+ (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (sqr (- (* a a) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (+ (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1428 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (407 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (* (+ b a) (- a b))) 4)) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (* (+ b a) (- a b))) 4)) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) * * * * [misc]progress: [ 1429 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (+ (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (431 enodes) * [exit]simplify: Simplified to (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1430 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (435 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- (* a a) (* b b)) (+ (* a a) (* b b))) (* (- (* a a) (* b b)) (+ (* a a) (* b b)))) 4)))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- (* a a) (* b b)) (+ (* a a) (* b b))) (* (- (* a a) (* b b)) (+ (* a a) (* b b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1431 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * * [misc]simplify: iters left: 4 (458 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (+ (* 3 a) 1) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (* 3 a) 1) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* a a) (+ 1 a)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (+ (* 3 a) 1) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (* 3 a) 1) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* a a) (+ 1 a)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* 3 a) 1)) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* 3 a) 1)) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1432 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (404 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b))))))) (* (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b))))))) (* (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 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 (38 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* 3 a) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* 3 a) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 1433 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * * [misc]simplify: iters left: 4 (419 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))))) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (+ (* (* (sqr (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (+ (* a a) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* 3 a) 1) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (+ (* (* (sqr (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (+ (* a a) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* 3 a) 1) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 1434 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (* (+ (* 3 a) 1) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (* 3 a) 1) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (* (+ (* 3 a) 1) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (* 3 a) 1) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [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 (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 1435 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (435 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (* 3 a) 1) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (+ (* 3 a) 1))) (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (* a a) (* b b))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (* 3 a) 1) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (+ (* 3 a) 1))) (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (* a a) (* b b))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 1436 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (376 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) 4))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) 4))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* 3 a) 1))) * * * * [misc]progress: [ 1437 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (398 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (+ (* 3 a) 1) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* a a) (+ 1 a)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (* 3 a) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))) (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (+ (* 3 a) 1) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* a a) (+ 1 a)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ (* 3 a) 1)))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (* (* (+ (* 3 a) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))) (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 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 (67 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1438 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (389 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* 3 a) 1) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (* 3 a) 1) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* 3 a) 1)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4))))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* 3 a) 1) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (* 3 a) 1) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- 1 (* (* 3 a) (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* 3 a) 1)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (sqr (+ (* a a) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (sqr (+ (* a a) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 1439 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (* (- (* a a) (- a 1)) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (* (- (* a a) (- a 1)) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (- (* a a) (- a 1))) (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (- (* a a) (- a 1))) (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1440 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (+ (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 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1441 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * * [misc]simplify: iters left: 4 (408 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (98 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 1442 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) 4))) (* (* (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (* a a) (- a 1)) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) 4))) (* (* (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (+ (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 (82 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* a a) (- a 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* a a) (- a 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1443 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (403 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (sqr (* (+ b a) (- a b)))))) (* (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (* (* b b) (- 1 (* 3 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))))) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (sqr (* (+ b a) (- a b)))))) (* (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (* (* b b) (- 1 (* 3 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (sqr (- (* a a) (- a 1))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ 1 (- (* a a) a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (sqr (- (* a a) (- a 1))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ 1 (- (* a a) a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))))) * * * * [misc]progress: [ 1444 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (sqr (- (* a a) (* b b))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* 4 (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (sqr (- (* a a) (* b b))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* 4 (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (339 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- (* a a) a) 1)) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- (* a a) a) 1)) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1445 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (370 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (- (* a a) (- a 1))) (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (- (* a a) (- a 1))) (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ 1 (- (* a a) a))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (sqr (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ 1 (- (* a a) a))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (sqr (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1446 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (363 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))))))) (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- (* a a) (- a 1))) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- (* a a) (- a 1))) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) * * * * [misc]progress: [ 1447 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 a) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 a) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1448 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (338 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 a) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- 1 a))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 a) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 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 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))))) * * * * [misc]progress: [ 1449 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * * [misc]simplify: iters left: 4 (356 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a)))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a)))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 1450 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a)) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (- 1 a)) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) * * * * [misc]progress: [ 1451 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 a) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (sqr (cube (* (* a a) (+ 1 a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (sqr (* (- a b) (+ b a))) 4) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 a) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (sqr (cube (* (* a a) (+ 1 a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (sqr (* (- a b) (+ b a))) 4) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (- 1 a) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (- 1 a) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 1452 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (- 1 a))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (- 1 a))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (378 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- 1 a) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- 1 a) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1453 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (* (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (* (+ (* (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* b b) (- 1 (* 3 a))) (* (* a a) (- 1 (* a a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1454 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (- 1 a) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) (* (* (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- 1 a) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (- 1 a) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) (* (* (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 1455 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * * [misc]simplify: iters left: 4 (492 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (* (- (* a a) (- a 1)) (+ 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- (* a a) (- a 1))))))) (* (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (* (- (* a a) (- a 1)) (+ 1 (* 3 a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (* (- (* a a) (- a 1)) (+ 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- (* a a) (- a 1))))))) (* (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (* (- (* a a) (- a 1)) (+ 1 (* 3 a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1456 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (442 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b)))) (sqr (+ 1 (* 3 a))))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (sqr (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (- (* a a) (- a 1))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (* b b)))) (sqr (+ 1 (* 3 a))))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (sqr (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (- (* a a) (- a 1))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (39 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1457 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * * [misc]simplify: iters left: 4 (481 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b)))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (sqr (cube (* (+ 1 a) (* a a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (* b b)))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (sqr (cube (* (+ 1 a) (* a a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1458 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (425 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (+ (* a a) (* (cube a) (* a a))) (sqr (+ 1 (* 3 a))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a)))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (+ (* a a) (* (cube a) (* a a))) (sqr (+ 1 (* 3 a))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a)))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1459 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * * [misc]simplify: iters left: 4 (475 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (+ (* (cube a) (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))))) (sqr (+ (* a a) (- 1 a)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ 1 (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (+ (* (cube a) (* a a)) (* a a)) (sqr (+ 1 (* 3 a)))))) (sqr (+ (* a a) (- 1 a)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ 1 (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (95 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1460 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (- (* a a) (- a 1))))) (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (* a a) (- a 1))))) (* 4 (sqr (- (* a a) (* b b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (- (* a a) (- a 1)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (* a a) (- a 1)))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (- (* a a) (- a 1))))) (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (* a a) (- a 1))))) (* 4 (sqr (- (* a a) (* b b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (- (* a a) (- a 1)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (* a a) (- a 1)))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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)))))))) (- (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 (79 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 1461 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (436 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a)))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (+ (* (cube a) (* a a)) (* a a)) (sqr (+ 1 (* 3 a))))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (- (* a a) a)))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (+ (* (cube a) (* a a)) (* a a)) (sqr (+ 1 (* 3 a))))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 1462 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (434 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (* (sqr (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ 1 (* 3 a))) (sqr (+ (* a a) (- 1 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (* (sqr (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 1463 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * * [misc]simplify: iters left: 4 (432 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)))) (sqr (+ (* a a) (- 1 a)))) (sqr (- (cube (* a a)) (sqr (cube b)))))) (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (+ (* a a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (+ (* a a) (* (cube a) (* a a)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)))))))) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)))) (sqr (+ (* a a) (- 1 a)))) (sqr (- (cube (* a a)) (sqr (cube b)))))) (* (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (+ (* a a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (+ (* a a) (* (cube a) (* a a)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (97 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1464 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (sqr (+ (* a 3) 1)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))) (* (* (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) 4)) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (sqr (- (cube (* a a)) (cube (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (sqr (+ (* a 3) 1)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))) (* (* (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) 4)) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (sqr (- (cube (* a a)) (cube (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (81 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1465 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (428 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* a a) (- a 1))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (* b b) (- 1 (* (* a 3) (* a 3))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (* (sqr (cube (* (+ 1 a) (* a a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) (* (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* a a) (- a 1))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (* b b) (- 1 (* (* a 3) (* a 3))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (* (sqr (cube (* (+ 1 a) (* a a)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) (* (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1466 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (383 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (+ (* (* (sqr (- (* a a) (- a 1))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (+ (* a a) (* (cube a) (* a a)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (+ (* (* (sqr (- (* a a) (- a 1))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (+ (* a a) (* (cube a) (* a a)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1467 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (435 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (sqr (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a)))))) 4) (* (+ (* (* (sqr (+ (* a a) (- 1 a))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (* b b) (- 1 (* (* a 3) (* a 3))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)))))) (- (* (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (sqr (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a)))))) 4) (* (+ (* (* (sqr (+ (* a a) (- 1 a))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (* b b) (- 1 (* (* a 3) (* a 3))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1)))))) (- (* (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (86 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 1468 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* a a) (- a 1))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* (* a 3) (* a 3)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* a 3)) (* b b)))))) (* 4 (* (* (+ b a) (- a b)) (* (+ b a) (- a b)))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* a a) (- a 1))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* (* a 3) (* a 3)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* a 3)) (* b b)))))) (* 4 (* (* (+ b a) (- a b)) (* (+ b a) (- a b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (- (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 (70 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1469 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (407 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (* (sqr (- (* a a) (- a 1))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* (* a 3) (* a 3)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (* (sqr (- (* a a) (- a 1))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- (* a a) (- a 1)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* (* a 3) (* a 3)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* a 3) 1)) (* (- (* a a) (- a 1)) (+ (* a 3) 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (153 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))) (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))))) (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))) (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))))) (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) * * * * [misc]progress: [ 1470 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a))))) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (* (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))))) (* (* (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (sqr (+ (* a a) (- 1 a))))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* (* a 3) (* a 3))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (+ (* a 3) 1)) (sqr (+ (* a a) (- 1 a))))) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (* (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))))) (* (* (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (* (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (sqr (+ (* a a) (- 1 a))))) (- (* (sqr (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (+ (* a a) (- 1 a)) (+ (* a 3) 1))) (* (* (sqr (+ (* a 3) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* (* a 3) (* a 3))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 1471 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr 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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * * [misc]simplify: iters left: 4 (433 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (sqr (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))))) (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a)))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (sqr (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))))) (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a)))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (* (- 1 a) (sqr (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (* (- 1 a) (sqr (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * * * * [misc]progress: [ 1472 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (398 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b)))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1)))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) 4) (- (cube (* a a)) (* (cube b) (cube b)))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1)))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1473 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* a a) (* b b))))) (* (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* a a) (* b b))))) (* (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (- 1 a)))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (- 1 a)))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1474 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (377 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (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 (88 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (- 1 a)))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (- 1 a)))) * * * * [misc]progress: [ 1475 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * * [misc]simplify: iters left: 4 (432 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (sqr (- (* a a) (* b b))) 4)))) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (sqr (- (* a a) (* b b))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (97 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 1476 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ b a) (- a b))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ b a) (- a b))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (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 (81 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 1477 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr 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)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1)))))) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1)))))) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (183 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b))) (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (- 1 a) (sqr (+ 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b))) (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (- 1 a) (sqr (+ 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1478 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1479 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (+ (* (* (* (sqr (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (+ (* (- 1 a) (* a 3)) (- 1 a))) (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (sqr (+ (* a 3) 1)) (* (* a a) (- 1 (* a a))))))))) (* (* (* (* (sqr (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))) (+ (cube (cube (* (- 1 (* a 3)) (* b b)))) (cube (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (+ (* (* (* (sqr (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (+ (* (- 1 a) (* a 3)) (- 1 a))) (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (sqr (+ (* a 3) 1)) (* (* a a) (- 1 (* a a))))))))) (* (* (* (* (sqr (+ (* a 3) 1)) (+ (* (- 1 a) (* a 3)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))) (+ (cube (cube (* (- 1 (* a 3)) (* b b)))) (cube (cube (* (* a a) (+ 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1480 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (368 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (- 1 a) (+ (* a 3) 1))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))))) (* (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (sqr (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- 1 a) (+ (* a 3) 1))) (* (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (* (* a 3) (* a 3)))) (sqr (+ (* a 3) 1)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (- 1 a) (+ (* a 3) 1))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))))) (* (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (sqr (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- 1 a) (+ (* a 3) 1))) (* (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (* (* a 3) (* a 3)))) (sqr (+ (* a 3) 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1481 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (+ (* a 3) 1)) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (sqr (+ (* a 3) 1)) (* (* a a) (- 1 (* a a)))))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (* (* (sqr (+ (* a 3) 1)) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (+ (cube (cube (* (- 1 (* a 3)) (* b b)))) (cube (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (+ (* a 3) 1)) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (sqr (+ (* a 3) 1)) (* (* a a) (- 1 (* a a)))))))) (* (- (* (cube (* (- 1 (* a 3)) (* b b))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (* (* (sqr (+ (* a 3) 1)) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (+ (cube (cube (* (- 1 (* a 3)) (* b b)))) (cube (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (95 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1482 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (+ (* (* a 3) (- 1 a)) (- 1 a))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3)))))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (- 1 (* (* a 3) (* a 3)))))) (* (* (* (sqr (+ (* a 3) 1)) (+ (* (* a 3) (- 1 a)) (- 1 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (+ (* (* a 3) (- 1 a)) (- 1 a))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3)))))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (- 1 (* (* a 3) (* a 3)))))) (* (* (* (sqr (+ (* a 3) 1)) (+ (* (* a 3) (- 1 a)) (- 1 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (79 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) * * * * [misc]progress: [ 1483 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (+ (* a 3) 1)) (* (+ (* a 3) 1) (- 1 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (+ (* a 3) 1) (- 1 a))) (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (sqr (+ (* a 3) 1)) (* (* a a) (- 1 (* a a)))))))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* a 3)) (* b b))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (+ (cube (cube (* (- 1 (* a 3)) (* b b)))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr (+ (* a 3) 1)) (* (+ (* a 3) 1) (- 1 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* 4 (sqr (* (- a b) (+ b a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (+ (* a 3) 1)) (* (+ (* a 3) 1) (- 1 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (+ (* a 3) 1) (- 1 a))) (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (sqr (+ (* a 3) 1)) (* (* a a) (- 1 (* a a)))))))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* a 3)) (* b b))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (+ (cube (cube (* (- 1 (* a 3)) (* b b)))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr (+ (* a 3) 1)) (* (+ (* a 3) 1) (- 1 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* 4 (sqr (* (- a b) (+ b a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (88 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1484 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (sqr (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))))) (* (+ (* (* (* (sqr (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- 1 a) (+ (* a 3) 1))) (* (- 1 (* (* a 3) (* a 3))) (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (sqr (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))))) (* (+ (* (* (* (sqr (+ (* a 3) 1)) (* (- 1 a) (+ (* a 3) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (* (- 1 a) (+ (* a 3) 1))) (* (- 1 (* (* a 3) (* a 3))) (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1485 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (368 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* (sqr (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (+ (- 1 a) (* (* a 3) (- 1 a)))) (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (sqr (+ (* a 3) 1)) (* (* a a) (- 1 (* a a))))))) (* (* (* (sqr (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* (sqr (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (+ (- 1 a) (* (* a 3) (- 1 a)))) (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (sqr (+ (* a 3) 1)) (* (* a a) (- 1 (* a a))))))) (* (* (* (sqr (+ (* a 3) 1)) (+ (- 1 a) (* (* a 3) (- 1 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b)))))) * * * * [misc]progress: [ 1486 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (+ (- 1 a) (* (* a 3) (- 1 a)))) (* (- 1 (* (* a 3) (* a 3))) (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* (* a a) (* b b))))))) (* (* (* (sqr (+ (* a 3) 1)) (* (+ (* a 3) 1) (- 1 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (sqr (+ (* a 3) 1)) (* (+ (* a 3) 1) (- 1 a)))) (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (* b b) (- 1 (* (* a 3) (* a 3)))) (* (* b b) (- 1 (* (* a 3) (* a 3))))) (+ (- 1 a) (* (* a 3) (- 1 a)))) (* (- 1 (* (* a 3) (* a 3))) (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* (* a a) (* b b))))))) (* (* (* (sqr (+ (* a 3) 1)) (* (+ (* a 3) 1) (- 1 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (sqr (+ (* a 3) 1)) (* (+ (* a 3) 1) (- 1 a)))) (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (- 1 a) (+ (* 3 a) 1))) (* (sqr (+ (* a a) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (- 1 a) (+ (* 3 a) 1))) (* (sqr (+ (* a a) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1487 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a))) (sqr (+ 1 (* 3 a))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- (* 1 1) (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (+ (cube a) (* 1 1)) (* a a)) (* (+ (cube a) (* 1 1)) (* a a))) (sqr (+ 1 (* 3 a))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- (* 1 1) (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1488 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (450 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (+ 1 (* 3 a))) (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (- (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (- 1 (cube (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (* (sqr (+ 1 (* 3 a))) (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (+ 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (+ 1 (* 3 a))) (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (+ 1 (* 3 a)))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (- (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (- 1 (cube (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (* (sqr (+ 1 (* 3 a))) (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (+ 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (38 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (+ (* 3 a) 1))))) * * * * [misc]progress: [ 1489 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * * [misc]simplify: iters left: 4 (468 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))))) (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (sqr (+ 1 (* 3 a)))))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ 1 (* 3 a))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))))) (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))) (sqr (+ 1 (* 3 a)))))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ 1 (* 3 a))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (sqr (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1490 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (427 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (sqr (+ 1 (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (* (* (* b b) (* (+ 1 a) (* a a))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)))) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (sqr (+ 1 (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (* (* (* b b) (* (+ 1 a) (* a a))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1491 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (484 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ 1 (* 3 a)))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1))) (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (* a a) (* b b))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (sqr (+ 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ 1 (* 3 a)))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1))) (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (* a a) (* b b))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (sqr (+ 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) * * * * [misc]progress: [ 1492 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (422 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ 1 (* 3 a)))) (sqr (+ 1 (* 3 a)))) (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) 4)) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (* (* b b) (* (+ 1 a) (* a a))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ 1 (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ 1 (* 3 a)))) (sqr (+ 1 (* 3 a)))) (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) 4)) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (* (* b b) (* (+ 1 a) (* a a))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ 1 (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (sqr (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (sqr (+ (* 3 a) 1)) (* (sqr (+ (* 3 a) 1)) (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1493 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (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)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (444 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (* (* (* b b) (* (+ 1 a) (* a a))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (sqr (+ 1 (* 3 a))) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ 1 (* 3 a))))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b))) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)) (* (* (* (* b b) (* (+ 1 a) (* a a))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (sqr (+ 1 (* 3 a))) (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ 1 (* 3 a))))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 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 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) * * * * [misc]progress: [ 1494 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (438 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (* (* b b) (* (+ 1 a) (* a a))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a)))))))) (* (* (+ (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ 1 (* 3 a)))) (sqr (+ 1 (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (sqr (* (- 1 (* (* 3 a) (* 3 a))) (* b b)))) (* (* (* (* b b) (* (+ 1 a) (* a a))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a)))))))) (* (* (+ (* (+ (* (* 3 a) (* 3 a)) (* 3 a)) (sqr (+ 1 (* 3 a)))) (sqr (+ 1 (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (sqr (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1495 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * * [misc]simplify: iters left: 4 (439 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) 4) (+ (cube (cube (* (- 1 (* a 3)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (* (- 1 (* (* a 3) (* a 3))) (* (* (* a a) (+ 1 a)) (* b b)))))) (* (* (cube (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) 4) (+ (cube (cube (* (- 1 (* a 3)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (* (- 1 (* (* a 3) (* a 3))) (* (* (* a a) (+ 1 a)) (* b b)))))) (* (* (cube (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (94 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1)))) (sqr (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1)))) (sqr (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1496 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (379 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* 4 (sqr (- (cube (* a a)) (sqr (cube b))))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (* (* a a) (+ 1 a)) (* b b)))) (sqr (- (* a a) (- a 1)))) (* (cube (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* 4 (sqr (- (cube (* a a)) (sqr (cube b))))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (* (* a a) (+ 1 a)) (* b b)))) (sqr (- (* a a) (- a 1)))) (* (cube (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 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 (34 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1))))) (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1))))) (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 1497 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))))) (* (+ (* (* (cube (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (* (- 1 (* (* a 3) (* a 3))) (* (* (+ 1 a) (* a a)) (* b b))))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))))) (* (+ (* (* (cube (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (* (- 1 (* (* a 3) (* a 3))) (* (* (+ 1 a) (* a a)) (* b b))))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (sqr (+ (* a a) (sqr b))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (sqr (+ (* a a) (sqr b))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1)))))) * * * * [misc]progress: [ 1498 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (cube (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (* (* (+ 1 a) (* a a)) (* b b))) (- 1 (* (* a 3) (* a 3))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (cube (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (* (* (+ 1 a) (* a a)) (* b b))) (- 1 (* (* a 3) (* a 3))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* a a) (sqr b))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* a a) (sqr b))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 1499 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (- 1 (* a 3)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (* (* (* a a) (+ 1 a)) (* b b))) (- 1 (* (* a 3) (* a 3)))))) (* (* (cube (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (- 1 (* a 3)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (* (* (* a a) (+ 1 a)) (* b b))) (- 1 (* (* a 3) (* a 3)))))) (* (* (cube (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (* a a) (+ 1 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1)))) (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1)))) (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 1500 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (350 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (cube (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (* (* a a) (+ 1 a)) (* b b)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4)) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (cube (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (* (* a a) (+ 1 a)) (* b b)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4)) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 1501 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (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)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (* (- 1 (* (* a 3) (* a 3))) (* (* (* a a) (+ 1 a)) (* b b)))))) (* (* (cube (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* 4 (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (sqr (+ (* a 3) 1)) (* (- 1 (* (* a 3) (* a 3))) (* (* (* a a) (+ 1 a)) (* b b)))))) (* (* (cube (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* 4 (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 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 (58 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1)))) (sqr (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (* 3 a) 1)))) (sqr (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 1502 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (373 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (* (* a a) (+ 1 a)) (* b b))))) (* (* (cube (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (+ (* a 3) 1)) (* (* (sqr (+ (* a 3) 1)) (- 1 (* (* a 3) (* a 3)))) (* (* (* a a) (+ 1 a)) (* b b))))) (* (* (cube (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (* (cube (+ (* a 3) 1)) (sqr (- (* a a) (- a 1)))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* a a) (sqr b))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (cube (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (sqr (+ (* a a) (sqr b))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (cube (+ (* 3 a) 1))))) * * * * [misc]progress: [ 1503 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * * [misc]simplify: iters left: 4 (462 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))) (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (sqr (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (- (* a a) (- a 1))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (* (* b b) (- 1 (* a 3)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))) (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (sqr (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (* (* (- (* a a) (- a 1)) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (- (* a a) (- a 1))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (* (* b b) (- 1 (* a 3)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (94 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (- (* a a) (- a 1))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (- (* a a) (- a 1))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 1504 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (* (- (* a a) (- a 1)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b))))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (- (* a a) (- a 1)) (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b)))) (* (sqr (+ (* a 3) 1)) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* a 3))))) (sqr (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (* (- (* a a) (- a 1)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b))))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (- (* a a) (- a 1)) (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b)))) (* (sqr (+ (* a 3) 1)) (* (* (+ (cube a) 1) (* (* a a) (* b b))) (- 1 (* a 3))))) (sqr (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (34 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (- (* a a) (- a 1)))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (- (* a a) (- a 1)))) * * * * [misc]progress: [ 1505 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (* a 3) 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (* (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a))))) (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))))) (* (+ (* (* (* (sqr (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (- (* a a) (- a 1))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (* (* b b) (- 1 (* a 3)))))))) (* (+ (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* a 3))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (* a 3) 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (* (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a))))) (* 4 (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))))) (* (+ (* (* (* (sqr (+ (* a 3) 1)) (- (* a a) (- a 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (- (* a a) (- a 1))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (* (* b b) (- 1 (* a 3)))))))) (* (+ (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* a 3))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (sqr (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (sqr (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 1506 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (378 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (- (* a a) (- a 1))) (* (* (sqr (+ (* a 3) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* a 3)))) (sqr (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1)))) (sqr (- (* a a) (- a 1)))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (- (* a a) (- a 1))) (* (* (sqr (+ (* a 3) 1)) (* (+ (cube a) 1) (* (* a a) (* b b)))) (- 1 (* a 3)))) (sqr (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1)))) (sqr (- (* a a) (- a 1)))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (+ (* a a) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (+ (* a a) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 1507 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * * [misc]simplify: iters left: 4 (446 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (- (* a a) (- a 1)) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) 4) (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (+ (* (- (* (- (* a a) (- a 1)) (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b)))) (* (sqr (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (* (* b b) (- 1 (* a 3)))))) (sqr (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (* b b) (- 1 (* a 3)))) (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (* (- (* a a) (- a 1)) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) 4) (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (+ (* (- (* (- (* a a) (- a 1)) (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b)))) (* (sqr (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (* (* b b) (- 1 (* a 3)))))) (sqr (- (* a a) (- a 1)))) (* (* (- (* a a) (- a 1)) (sqr (+ (* a 3) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (* b b) (- 1 (* a 3)))) (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 1508 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (373 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (- (* a a) (- a 1))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (* (* b b) (- 1 (* a 3))))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* a a) (- a 1))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4)))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (- (* a a) (- a 1))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (* (* b b) (- 1 (* a 3))))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* a a) (- a 1))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (- (* a a) (- a 1))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (- (* a a) (- a 1))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 1509 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (403 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (- (* a a) (- a 1))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (* (* b b) (- 1 (* a 3))))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b))) (- (* a a) (- a 1))) (* (sqr (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (* (* b b) (- 1 (* a 3))))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1)) (sqr (- (* a a) (- a 1))))) (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* a 3)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (- 1 a))))) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (- 1 a))))) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (- 1 a)))) * * * * [misc]progress: [ 1510 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (396 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b)))) (* (* (* b b) (- 1 (* a 3))) (* (sqr (+ (* a 3) 1)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- (* a a) (- a 1))))) (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1)) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (* (* (- 1 (* (* a 3) (* a 3))) (* b b)) (* (- 1 (* (* a 3) (* a 3))) (* b b)))) (* (* (* b b) (- 1 (* a 3))) (* (sqr (+ (* a 3) 1)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- (* a a) (- a 1))))) (* (* (* (+ (* a 3) 1) (- (* a a) (- a 1))) (+ (* a 3) 1)) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (sqr (- (* a a) (- a 1))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (sqr (- (* a a) (- a 1))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1511 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (364 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (* (* b b) (- 1 (* a 3))) (* (- 1 (* a a)) (* a a))) (sqr (+ (* a 3) 1)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* a 3)))))) (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4)) (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (* (* b b) (- 1 (* a 3))) (* (- 1 (* a a)) (* a a))) (sqr (+ (* a 3) 1)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* a 3)))))) (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4)) (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (90 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ (* 3 a) 1) (- 1 a)) (+ (* 3 a) 1)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ (* 3 a) 1) (- 1 a)) (+ (* 3 a) 1)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1512 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (+ (* a 3) 1) (* (- 1 a) (+ (* a 3) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (* (* b b) (- 1 (* a 3)))) (* (- 1 (* a a)) (* a a))))))) (* (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (+ (* a 3) 1) (* (- 1 a) (+ (* a 3) 1))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (* (* b b) (- 1 (* a 3)))) (* (- 1 (* a a)) (* a a))))))) (* (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (+ (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1))) (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 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 (74 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b))) (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b))) (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1513 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (- 1 (* a 3)))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* a 3)))))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* a 3)))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (- 1 (* a 3)))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* a 3)))))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* a 3)))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1514 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 a) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))))) (* (+ (* (* (* (* (- 1 a) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (* a 3))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 a) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))))) (* (+ (* (* (* (* (- 1 a) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (* a 3))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1515 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- 1 a) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (sqr (* (+ b a) (- a b)))))) (* (+ (* (* (* (- 1 a) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (- 1 (* a 3)))))) (+ (* (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* a 3))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (* b b) (- 1 (* a 3))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- 1 a) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (sqr (* (+ b a) (- a b)))))) (* (+ (* (* (* (- 1 a) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (- 1 (* a 3)))))) (+ (* (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* a 3))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (79 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1516 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (289 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (* (* b b) (- 1 (* a 3))) (* (- 1 (* a a)) (* a a))) (sqr (+ (* a 3) 1)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))))) (* (sqr (* (+ b a) (- a b))) 4))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (* (* b b) (- 1 (* a 3))) (* (- 1 (* a a)) (* a a))) (sqr (+ (* a 3) 1)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (sqr (+ (* a 3) 1)) (- 1 a)) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))))) (* (sqr (* (+ b a) (- a b))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (- (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 (63 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1517 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (* (* (- 1 a) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (- 1 (* a 3))))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a))) (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (* (* (- 1 a) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (- 1 (* a 3))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))) (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))) (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))))) * * * * [misc]progress: [ 1518 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (* a 3)))))) (* (* (* (* (- 1 a) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (* (* a 3) (* a 3))) (- 1 (* (* a 3) (* a 3))))) (* (* (sqr (+ (* a 3) 1)) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (* a 3)))))) (* (* (* (* (- 1 a) (+ (* a 3) 1)) (+ (* a 3) 1)) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* a 3) 1)))) (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* a 3)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) 1)) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (- 1 a))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* 3 a) 1)) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (- 1 a))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 1519 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * * [misc]simplify: iters left: 4 (431 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (* a a) (+ 1 a)) (+ (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (* (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (* a a) (+ 1 a)) (+ (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1520 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b)))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b)))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (* (* (sqr (+ (* (* b b) (+ (* a a) (* b b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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))))) (- (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 (92 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (* a a) (+ 1 a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (* a a) (+ 1 a)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (* a a) (+ 1 a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (* a a) (+ 1 a)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1521 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (* b b))))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) (* (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (* a a) (+ 1 a)) (+ (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (* a a) (+ 1 a)) (+ (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))))) * * * * [misc]progress: [ 1522 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (367 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))) (* (* (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (sqr (* (- (* a a) (* b b)) (+ (* a a) (* b b)))) 4)))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))) (* (* (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (sqr (* (- (* a a) (* b b)) (+ (* a a) (* b b)))) 4)))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (* a a) (+ 1 a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (* a a) (+ 1 a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1523 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (425 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (* b b))))) (* (sqr (- (* a a) (* b b))) 4)) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (* b b))))) (* (sqr (- (* a a) (* b b))) 4)) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (* (+ 1 a) (* a a)) (* (- 1 (* a 3)) (* b b))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (* a a) (+ 1 a)) (+ (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (* a a) (+ 1 a)) (+ (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1524 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a))))))) (* (* (sqr (* (- a b) (+ b a))) 4) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a))))))) (* (* (sqr (* (- a b) (+ b a))) 4) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (* a a) (+ 1 a)) (+ (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (* a a) (+ 1 a)) (+ (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1525 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (sqr (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (34 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (* a a) (+ 1 a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (* a a) (+ 1 a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1526 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (352 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* (* b b) (* (+ 1 a) (* a a)))) (+ (sqr (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (* a a) (+ 1 a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (* a a) (+ 1 a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1527 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (* b b))))) 4)) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (* b b))))) 4)) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (97 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1528 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* 4 (- (cube (* a a)) (cube (* b b)))) (- (cube (* a a)) (cube (* b b))))) (* (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* 4 (- (cube (* a a)) (cube (* b b)))) (- (cube (* a a)) (cube (* b b))))) (* (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (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))))) (- (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 (81 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1529 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (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)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (382 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (* b b))))) 4) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (* b b))))) 4) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (sqr (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 1530 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (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)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* a a) (* b b)))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (* (- 1 (* a 3)) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* a a) (* b b)))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (* (- 1 (* a 3)) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (* (- 1 (* 3 a)) (sqr b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (* (- 1 (* 3 a)) (sqr b))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1531 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (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 (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (363 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (* (- a b) (+ b a))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (cube (cube (* (- 1 (* a 3)) (* b b)))) (cube (cube (* (+ 1 a) (* a a))))) 4)) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (* (- a b) (+ b a))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))))) (* (+ (cube (cube (* (- 1 (* a 3)) (* b b)))) (cube (cube (* (+ 1 a) (* a a))))) 4)) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1532 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (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 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4)) (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4)) (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* a 3)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1533 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (335 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- (cube (* a a)) (sqr (cube b)))))) (* 4 (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (* (- 1 (* a 3)) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- (cube (* a a)) (sqr (cube b)))))) (* 4 (+ (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (* (- 1 (* a 3)) (* b b))) (- (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (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 (30 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) * [exit]simplify: Simplified to (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) * * * * [misc]progress: [ 1534 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (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)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* a a) (* b b))) (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* a a) (* b b))) (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a))))) (* (* (* (- 1 (* a 3)) (* b b)) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* a 3)) (* b b))) (+ (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (sqr (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (sqr (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 1535 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (78 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * * [misc]simplify: iters left: 4 (494 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (* (- (* (cube a) (cube a)) (sqr (cube b))) 4)) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))))) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (+ (* a a) (* (* a a) (cube a)))) (* b b)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (* (- (* (cube a) (cube a)) (sqr (cube b))) 4)) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))))) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (+ (* a a) (* (* a a) (cube a)))) (* b b)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a))))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a))))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1536 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))))) (* (- 1 a) (- 1 a))))) (* (* (* (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))))) (* (- 1 a) (- 1 a))))) (* (* (* (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (39 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 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 (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1537 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * * [misc]simplify: iters left: 4 (494 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ 1 (- (* a a) a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) * [exit]simplify: Simplified to (* (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ 1 (- (* a a) a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) * * * * [misc]progress: [ 1538 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (438 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a))))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a))))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1539 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * * [misc]simplify: iters left: 4 (482 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a)))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ b a) (- a b)) (* (+ b a) (- a b))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a)))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ b a) (- a b)) (* (+ b a) (- a b))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (94 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a 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 a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a 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 a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1540 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a))))) (* (* 4 (sqr (- (* a a) (* b b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (+ (* a a) (* (* a a) (cube a)))) (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a))))) (* (* 4 (sqr (- (* a a) (* b b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (+ (* a a) (* (* a a) (cube a)))) (* b b))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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)))))))) (- (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 (78 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1541 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (+ (* (* a a) (cube a)) (* a a))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* b b) (+ (* (* a a) (cube a)) (* a a))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (227 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1542 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (441 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (+ (* (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (+ (* (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1543 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * * [misc]simplify: iters left: 4 (420 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (* (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (* (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))))) * * * * [misc]progress: [ 1544 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (412 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (- 1 (sqr (* 3 a)))) (* b b)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (- 1 (sqr (* 3 a)))) (* b b)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (sqr (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (sqr (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 1545 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))) (* (* (sqr (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (* (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* (- 1 a) (- 1 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a)))) (* (* (sqr (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (* (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* (- 1 a) (- 1 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1546 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (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 (88 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))))) * * * * [misc]progress: [ 1547 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))) (+ (* (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ b a) (- a b))) 4)))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))) (+ (* (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ b a) (- a b))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (97 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 1548 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) (* (* (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ b a) (- a b))) 4)) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) (* (* (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ b a) (- a b))) 4)) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (- (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 (81 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)))) * * * * [misc]progress: [ 1549 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (405 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (193 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1550 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) (* (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) (* (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* a a) (- 1 a)) (* (* 3 a) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* a a) (- 1 a)) (* (* 3 a) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))))) * * * * [misc]progress: [ 1551 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (393 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) 4) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a)))) (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* b b) (* a a))) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) 4) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a)))) (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* b b) (* a a))) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (- 1 a))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (- 1 a))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1552 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (360 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (cube (* 3 a)))) (* b b)))) (* (- 1 a) (- 1 a))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 a) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (* 4 (- (sqr (cube a)) (sqr (cube b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (- 1 a) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (cube (* 3 a)))) (* b b)))) (* (- 1 a) (- 1 a))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 a) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (* 4 (- (sqr (cube a)) (sqr (cube b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (36 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (* (* 3 a) (* 3 a)) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (* (* 3 a) (* 3 a)) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))))) * * * * [misc]progress: [ 1553 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (399 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (204 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ 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 a) (sqr b))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ 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 a) (sqr b))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1554 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- 1 a))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a))))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- 1 a))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a))))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (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 (80 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (- 1 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (sqr (+ (* a a) (sqr b)))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (sqr (- 1 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (sqr (+ (* a a) (sqr b)))) * * * * [misc]progress: [ 1555 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (400 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) 4))) (* (+ (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) 4))) (* (+ (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (89 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (* (* 3 a) (* 3 a))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (* (* 3 a) (* 3 a))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1556 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b))))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* 4 (* (* (+ b a) (- a b)) (* (+ b a) (- a b)))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b))))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* 4 (* (* (+ b a) (- a b)) (* (+ b a) (- a b)))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [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 (381 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (* (* 3 a) (* 3 a)) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (sqr (- 1 a)) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (* (* 3 a) (* 3 a)) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (sqr (- 1 a)) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1557 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (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 (368 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) 4)) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))) (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a))))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) 4)) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))))) (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a))))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- 1 a)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (- 1 a)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 1558 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (- 1 a) (- 1 a)))) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (- 1 a) (- 1 a)))) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a)) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (* b b) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (sqr (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (- 1 a) (* (* 3 a) (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (sqr (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1559 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * * [misc]simplify: iters left: 4 (428 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (* (* (- 1 a) (- 1 a)) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (* b b))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (* (* (- 1 a) (- 1 a)) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (* b b))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1560 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (382 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))))) (* (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (- (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* b b) (* a a))) (- 1 (sqr (* 3 a)))))) (sqr (- 1 a))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))))) (* (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (- (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* b b) (* a a))) (- 1 (sqr (* 3 a)))))) (sqr (- 1 a))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* 3 a) 1) (- 1 a)))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* 3 a) 1) (- 1 a)))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1561 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (429 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (+ (* a a) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (- 1 a) (- 1 a))) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (+ (* a a) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (- 1 a) (- 1 a))) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (98 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a)))))) * * * * [misc]progress: [ 1562 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (364 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))) (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) 4))) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (- 1 a)) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (- (* (* (- 1 a) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (sqr (* 3 a)))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))) (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) 4))) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (- 1 a)) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (- (* (* (- 1 a) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (sqr (* 3 a)))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (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 (82 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (- 1 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (- 1 a)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1563 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (sqr (* (- a b) (+ b a))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (sqr (* (- a b) (+ b a))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (- 1 a) (+ (* 3 a) 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (- 1 a) (+ (* 3 a) 1)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1564 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (358 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ 1 (* 3 a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- 1 a))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* (+ (* (* (sqr (- 1 a)) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) b))) b)))) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ 1 (* 3 a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- 1 a))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) (* (+ (* (* (sqr (- 1 a)) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) b))) b)))) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) * * * * [misc]progress: [ 1565 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (379 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))))) (* (+ (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (- 1 a)) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a)))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))))) (* (+ (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (- 1 a)) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a)))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (- 1 a))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (- 1 a))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 1566 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (378 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (* b b))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) 4) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (sqr (- (sqr (* a a)) (* (* b b) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (cube (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (* b b))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) 4) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (sqr (- (sqr (* a a)) (* (* b b) (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a)))) * * * * [misc]progress: [ 1567 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (475 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a))))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a))))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (97 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (* (* (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1568 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* 4 (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* 4 (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (81 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1569 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (448 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a))))) (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a))))) (* 4 (sqr (* (- (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* (* (* a a) (+ 1 a)) (* b b)) (- 1 (cube (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a))))) (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a))))) (* 4 (sqr (* (- (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* (* (* a a) (+ 1 a)) (* b b)) (- 1 (cube (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (cube (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1570 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (* a a) (+ 1 a)) (* b b)) (- 1 (cube (* 3 a))))))) (* (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (* a a) (+ 1 a)) (* b b)) (- 1 (cube (* 3 a))))))) (* (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (cube (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (cube (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (cube (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1571 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (460 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (* (+ b a) (- a b)) (* (+ b a) (- a b))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a))))) 4)) (* (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (* (+ b a) (- a b)) (* (+ b a) (- a b))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a))))) 4)) (* (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (86 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (407 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1572 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (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 (70 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a))) (cube (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a))) (cube (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)))) * * * * [misc]progress: [ 1573 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (414 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (* (* a a) (+ 1 a)) (* b b)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))) (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)))) (cube (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))) (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)))) (cube (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))) * * * * [misc]progress: [ 1574 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (407 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (* a a) (+ 1 a)) (* b b)) (- 1 (cube (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (* (* (* a a) (+ 1 a)) (* b b)) (- 1 (cube (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (cube (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (cube (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (- 1 a)))) * * * * [misc]progress: [ 1575 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * * [misc]simplify: iters left: 4 (427 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (* b b))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))))) (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (* b b))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))))) (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1)))) (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1576 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (378 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (* b b))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))))))) (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (* b b))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))))))) (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 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 (36 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* 3 a) 1) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* 3 a) 1) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)))))) * * * * [misc]progress: [ 1577 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (422 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (sqr (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (sqr (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4)) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (95 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (sqr (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1) (+ (+ (* (* 3 a) (* 3 a)) (* 3 a)) 1))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (sqr (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 1578 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (368 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a))))) (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (* b b))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a))))) (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (* b b))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (79 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (* 3 a) 1) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (* 3 a) 1) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1))))) * * * * [misc]progress: [ 1579 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (417 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))) (sqr (* (+ b a) (- a b)))))) (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1))))) (+ (* (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))) (sqr (* (+ b a) (- a b)))))) (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (* (* (+ 1 a) (* a a)) (* b b)) (- 1 (sqr (* 3 a)))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1))))) (+ (* (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (88 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))))) * * * * [misc]progress: [ 1580 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (* b b))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (sqr (* (+ b a) (- a b))) 4) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (* b b))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (sqr (* (+ b a) (- a b))) 4) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (* (+ (* 3 a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1581 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (382 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (* (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (* b b))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (* (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (* b b))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 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 (158 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (* 3 a) 1))) (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (* 3 a) 1))) (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1582 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (+ 1 (* 3 a)) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (* b b))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (+ 1 (* 3 a)) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ 1 (* 3 a)) (sqr (* (* b b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (* b b))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* 3 a) 1) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))) (sqr (+ (* a a) (sqr b)))) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* 3 a) 1) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))))) (sqr (+ (* a a) (sqr b)))) * * * * [misc]progress: [ 1583 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * * [misc]simplify: iters left: 4 (470 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1584 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* a a) (- a 1))) (* (* 4 (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* a a) (- a 1))) (* (* 4 (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (* b b)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* a a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 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 (38 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a)))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a)))) (* (* (- (* a a) (- a 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 1585 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * * [misc]simplify: iters left: 4 (434 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (- (* a a) (- a 1))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (- (* a a) (- a 1))) (* (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (- (* a a) (- a 1))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* a a) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* a a) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1586 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (393 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (* 3 a))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (* 3 a))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (- (* a a) (- a 1)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))))) * * * * [misc]progress: [ 1587 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * * [misc]simplify: iters left: 4 (444 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- 1 a) (- 1 a))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (+ (* (sqr (cube (* (* a a) (+ 1 a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (* (* b b) (- 1 (* 3 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (* (sqr (* (- a b) (+ b a))) 4) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))))) (* (- 1 a) (- 1 a))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (* a a) (- a 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (+ (* (sqr (cube (* (* a a) (+ 1 a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (cube (* (* b b) (- 1 (* 3 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (* (sqr (* (- a b) (+ b a))) 4) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* a a) (- a 1))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (- (* a a) (- a 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (- (* a a) (- a 1)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 1588 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4)) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* a a) (- a 1))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4)) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* a a) (- a 1))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a)))) (* (+ (- (* a a) a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a)))) (* (+ (- (* a a) a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1589 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (410 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* a a) (- a 1)))) (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* a a) (- a 1))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (* 4 (- (sqr (cube a)) (* (cube b) (cube b)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (sqr (* (- 1 (cube (* 3 a))) (* b b))) (- (* a a) (- a 1))) (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* a a) (- a 1)))) (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (* a a) (- a 1))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (* 4 (- (sqr (cube a)) (* (cube b) (cube b)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 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 (186 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* a a) (- 1 a)) (* (sqr (- 1 a)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* a a) (- 1 a)) (* (sqr (- 1 a)) (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))))))) * * * * [misc]progress: [ 1590 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (404 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (* b b)))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (* 3 a)))))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (* (+ (* a a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (* (+ (* a a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (sqr (- 1 a)))) * * * * [misc]progress: [ 1591 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (376 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- 1 a)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (91 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1592 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (310 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (sqr (- (cube (* a a)) (sqr (cube b))))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (sqr (- (cube (* a a)) (sqr (cube b))))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 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 (75 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (cube (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (cube (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1593 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* 4 (sqr (* (- (* a a) (* b b)) (+ (* a a) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* 4 (sqr (* (- (* a a) (* b b)) (+ (* a a) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- 1 a)) (* (sqr (- 1 a)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- 1 a)) (* (sqr (- 1 a)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1594 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) (* (* (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* a a)) (* (* a a) (* b b))) (- 1 (* 3 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) (* (* (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1595 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (350 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ b a) (- a b)) (* (+ b a) (- a b)))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) 4)) (* (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ b a) (- a b)) (* (+ b a) (- a b)))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) 4)) (* (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (80 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (cube (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (cube (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1596 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- 1 a))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4)))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (* b b)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- 1 a))) (* (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (- (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 (64 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (- 1 a))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1597 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))) (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b)))) (* (- 1 a) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))) (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b)))) (* (- 1 a) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a)))) * * * * [misc]progress: [ 1598 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) (* (* (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (* b b) (- 1 (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) (* (* (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a)))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (cube (- 1 a)))) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (cube (- 1 a)))) * * * * [misc]progress: [ 1599 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (81 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * * [misc]simplify: iters left: 4 (477 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (* (+ 1 (cube a)) (* (* a a) (* b b))) (- 1 (cube (* 3 a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a))))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (* a a) a) 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a))))))) * * * * [misc]progress: [ 1600 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (448 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) 4) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (* a a) (cube a)))))) (* (- 1 a) (- 1 a))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) 4) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (* a a) (cube a)))))) (* (- 1 a) (- 1 a))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (40 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- (* a a) (- a 1)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- (* a a) (- a 1)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))))) * * * * [misc]progress: [ 1601 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (77 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * * [misc]simplify: iters left: 4 (466 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (* a a) (cube a)))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* a a) (* b b))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (* a a) (cube a)))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* a a) (* b b))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* 4 (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1602 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (425 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (- (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 (88 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (* a a) a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1603 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (+ (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* 4 (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (* (+ b a) (- a b))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (+ (* (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (* 4 (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* (sqr (* (+ b a) (- a b))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (97 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1604 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (419 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ b a) (- a b))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (+ b a) (- a b))) 4)) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (* a a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (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 (81 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 1605 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (436 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a)))))))) (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a)))))))) (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (* a a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 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 (213 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))))) * * * * [misc]progress: [ 1606 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (421 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (- 1 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (* a a) (cube a)))) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (- 1 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (- 1 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (sqr (* (- 1 (sqr (* 3 a))) (* b b)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (* a a) (cube a)))) (* (- 1 (cube (* 3 a))) (* b b))))))) (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (- 1 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (442 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ 1 (* 3 a)) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (+ 1 (* 3 a)) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 1607 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (sqr (* 3 a))) (* b b))))))) (* (* (* (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (sqr (* 3 a))) (* b b))))))) (* (* (* (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (- (* a a) (- a 1)))) (sqr (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (- (* a a) (- a 1)))) (sqr (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1608 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (373 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (sqr (- 1 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (sqr (- 1 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a)))))) (sqr (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b))))) (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (- (* a a) (- a 1)) (+ 1 (* a 3)))) (sqr (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b))))) (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (- (* a a) (- a 1)) (+ 1 (* a 3)))) (sqr (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1609 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (425 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))))))) (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) (* (* (sqr (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b)))))))) (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) (* (* (sqr (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (95 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (sqr b))))) (* (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (- (* a a) (- a 1)))) (sqr (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (sqr b))))) (* (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (- (* a a) (- a 1)))) (sqr (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1610 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (369 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (* b b))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (79 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (425 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (- (* a a) (- a 1)))) (sqr (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (- (* a a) (- a 1)))) (sqr (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (sqr (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1611 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))))) (sqr (- 1 a)))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (sqr (* (- a b) (+ b a))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))))) (sqr (- 1 a)))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (sqr (* (- a b) (+ b a))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (88 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (- (* a a) (- a 1)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (- (* a a) (- a 1)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a))))) * * * * [misc]progress: [ 1612 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (sqr (* 3 a))) (* b b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (sqr (* 3 a))) (* b b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (- (* a a) (- a 1)))) (sqr (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* a 3)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (- (* a a) (- a 1)))) (sqr (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* a 3)))))) * * * * [misc]progress: [ 1613 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))))) (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (sqr (* 3 a))) (* b b))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))))) (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- (* a a) (- a 1)) (+ 1 (* 3 a)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (sqr (* 3 a))) (* b b))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a))) (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (+ (* a a) (- 1 a))))) (sqr (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a))) (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (+ (* a a) (- 1 a))))) (sqr (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))))) * * * * [misc]progress: [ 1614 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) 4))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a)))) (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (* a a) (* (cube a) (* a a))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (+ (* a a) (- 1 a)))) (sqr (- 1 a))) (* (sqr (+ (* a a) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (+ (* a a) (- 1 a)))) (sqr (- 1 a))) (* (sqr (+ (* a a) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1615 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr 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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (75 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * * [misc]simplify: iters left: 4 (436 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a)))))) (* (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)))) (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a)))))) (* (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)))) (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a))))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ 1 (* 3 a)) (* (sqr (- 1 a)) (+ 1 (* 3 a))))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1616 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (* 4 (- (sqr (cube a)) (cube (* b b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (* (* (- (sqr (cube a)) (cube (* b b))) (* 4 (- (sqr (cube a)) (cube (* b b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- 1 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- 1 a))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))))) * * * * [misc]progress: [ 1617 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (435 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* a a) (* b b)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (- 1 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (- 1 a))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (+ (sqr (* 3 a)) (* 3 a)) 1))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (* a a) (* b b)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (- 1 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ (sqr (* 3 a)) (* 3 a)) 1) (- 1 a))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (+ (sqr (* 3 a)) (* 3 a)) 1))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (98 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1618 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a)) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)) (+ (* 3 a) (+ (sqr (* 3 a)) 1))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (+ (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a)) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (* b b)))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (+ (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 (82 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* (- 1 a) (- 1 a)) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (* (- 1 a) (- 1 a)) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1))))) * * * * [misc]progress: [ 1619 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (409 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1))))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)))) (* 4 (sqr (* (- a b) (+ b a))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 a) (+ (* 3 a) (+ (sqr (* 3 a)) 1))))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a)))) (* 4 (sqr (* (- a b) (+ b a))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1620 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (361 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) 4) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) 4) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))))) (* (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1))) (sqr (- 1 a)))) * * * * [misc]progress: [ 1621 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr 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)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a)))) (* (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a)))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a)))) (- 1 (cube (* 3 a))))))) (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a)))) (* (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a)))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (* (+ (* 3 a) (+ (sqr (* 3 a)) 1)) (- 1 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a)))) (- 1 (cube (* 3 a))))))) (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (442 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (sqr (- 1 a)))) * * * * [misc]progress: [ 1622 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (383 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a)))))) (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (* b b)) (* (- 1 (sqr (* 3 a))) (* b b))) (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (* b b)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a)))))) (* (+ (- 1 a) (* (- 1 a) (+ (sqr (* 3 a)) (* 3 a)))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))))) (* (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 a))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (327 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (sqr (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (sqr (- 1 a)))) * * * * [misc]progress: [ 1623 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (378 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (- 1 a) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a)))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) (* (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (sqr (- (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (- 1 a) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a)))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) (* (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (sqr (- (sqr (cube a)) (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (+ (- 1 a) (* (- 1 a) (* a 3)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (+ (- 1 a) (* (- 1 a) (* a 3)))))) * * * * [misc]progress: [ 1624 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (- 1 a) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) (* (* (* (* 4 (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* (- 1 a) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) (* (* (* (* 4 (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (+ 1 (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (- 1 a) (- 1 a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 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 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* a 3)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (+ 1 (* a 3)) (* (+ 1 (* a 3)) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* a 3)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (+ 1 (* a 3)) (* (+ 1 (* a 3)) (* (- 1 a) (- 1 a)))))) * * * * [misc]progress: [ 1625 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (378 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) 4) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (sqr (* 3 a)))))))) (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (sqr (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))) 4) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (sqr (* 3 a)))))))) (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (sqr (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (87 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ 1 (* a 3)) (* (+ 1 (* a 3)) (* (- 1 a) (- 1 a))))) (+ (* (* a 3) (- 1 a)) (- 1 a)))) (- (* (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ 1 (* a 3)) (* (+ 1 (* a 3)) (* (- 1 a) (- 1 a))))) (+ (* (* a 3) (- 1 a)) (- 1 a)))) (- (* (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1626 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- (* a a) (* b b)) (+ (* a a) (* b b))) (* (- (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a)))) (* (* 4 (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (* (* (- 1 a) (- 1 a)) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (- (* a a) (* b b)) (+ (* a a) (* b b))) (* (- (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a)))) (* (* 4 (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (71 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* a 3)) (* (+ 1 (* a 3)) (* (- 1 a) (- 1 a)))) (* (+ (- 1 a) (* (- 1 a) (* a 3))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* a 3)) (* (+ 1 (* a 3)) (* (- 1 a) (- 1 a)))) (* (+ (- 1 a) (* (- 1 a) (* a 3))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))))) * * * * [misc]progress: [ 1627 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (+ (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* 4 (* (* (+ b a) (- a b)) (* (+ b a) (- a b)))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (+ (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (- 1 (* 3 a)) (* b b))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))))) (* (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))) (* 4 (* (* (+ b a) (- a b)) (* (+ b a) (- a b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- 1 a) (- 1 a))) (- (sqr (cube (* (- 1 (* a 3)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (- 1 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- 1 a) (- 1 a))) (- (sqr (cube (* (- 1 (* a 3)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1628 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (sqr (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))))) (* (* (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (sqr (- 1 a))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (+ (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* (* a a) (* b b)))))) (sqr (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))))) (* (* (* (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (sqr (- 1 a))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))))) * * * * [misc]progress: [ 1629 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (* (+ (* (- (* (* (+ 1 (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (* (+ (* (- (* (* (+ 1 (* 3 a)) (- 1 a)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 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 (54 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* a 3) (- 1 a)) (- 1 a))) (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (sqr (- 1 a))))) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* a 3) (- 1 a)) (- 1 a))) (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (sqr (- 1 a))))) * * * * [misc]progress: [ 1630 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (- 1 a))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (+ (* a a) (* b b))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (- 1 a) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (sqr (* 3 a))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))) (sqr (- 1 a))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (+ (* a a) (* b b))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (- 1 a) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (sqr (* 3 a))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (- 1 a) (+ 1 (* a 3)))) (* (sqr (- 1 a)) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (- 1 a) (+ 1 (* a 3)))) (* (sqr (- 1 a)) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1631 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * * [misc]simplify: iters left: 4 (474 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (cube (* 3 a))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (sqr (- (cube (* a a)) (sqr (cube b))))) (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (cube (* 3 a))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) (* (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (sqr (- (cube (* a a)) (sqr (cube b))))) (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1632 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (425 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a))))))))) (* (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a))))))))) (* (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (36 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1633 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (469 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) (* (sqr (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* b b) (- 1 (cube (* 3 a))))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) (* (sqr (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (95 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 1634 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (412 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (+ (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) 4)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) (* (+ (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (79 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1635 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (464 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (* (+ b a) (- a b))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))))) (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (sqr (- 1 a)) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ 1 a) (* a a))) (- 1 (cube (* 3 a)))))))) (+ (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (* b b) (- 1 (* 3 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (* (+ b a) (- a b))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))))) (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (sqr (- 1 a)) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (* (+ 1 a) (* a a))) (- 1 (cube (* 3 a)))))))) (+ (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (cube (* (* b b) (- 1 (* 3 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (88 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1636 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (389 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (sqr (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (+ b a) (- a b)))))) 4) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a)))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (sqr (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (sqr (* (+ b a) (- a b)))))) 4) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 1637 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (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)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (431 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (sqr (- 1 a)) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a))))))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (* 4 (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (sqr (- 1 a)) (- (* (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a))))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a))))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 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 (167 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 1638 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a))))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- (* a a) (* b b)) (+ (* a a) (* b b))) (* (- (* a a) (* b b)) (+ (* a a) (* b b)))) 4)))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (* b b))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (* b b) (- 1 (* (* 3 a) (* 3 a)))) (* (* b b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (cube (* 3 a))) (* (* b b) (* (+ 1 a) (* a a))))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- (* a a) (* b b)) (+ (* a a) (* b b))) (* (- (* a a) (* b b)) (+ (* a a) (* b b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* a a) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) * [exit]simplify: Simplified to (* (* (sqr (+ (* a a) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) * * * * [misc]progress: [ 1639 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (cube (+ 1 (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (cube (+ 1 (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (88 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3))))))) * * * * [misc]progress: [ 1640 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (326 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (sqr (- 1 a)) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (+ (* (sqr (- 1 a)) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 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 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3)))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3)))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 1641 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (354 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (* b b) (- 1 (sqr (* 3 a))))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (* a a) (+ 1 a))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (* b b) (- 1 (sqr (* 3 a))))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3))))) (sqr (+ (* a a) (sqr b)))) (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3))))) (sqr (+ (* a a) (sqr b)))) (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1642 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b))))) (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (sqr b)))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (sqr b)))) (sqr (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1643 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- 1 a)) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (* b b) (- 1 (sqr (* 3 a))))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (* (* (- a b) (+ b a)) (* (- a b) (+ b a))) 4)) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (sqr (- 1 a)) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (* b b) (- 1 (sqr (* 3 a))))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (* (* (- a b) (+ b a)) (* (- a b) (+ b a))) 4)) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (175 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* a 3)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* a 3)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3)))))) * * * * [misc]progress: [ 1644 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) 4)) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) 4)) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [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 (382 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3)))))) * * * * [misc]progress: [ 1645 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (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)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))))))) (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))))))) (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 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 (51 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (sqr (- 1 a)) (cube (+ 1 (* a 3)))))) * * * * [misc]progress: [ 1646 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (* b b) (- 1 (sqr (* 3 a))))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (sqr (- 1 a)) (cube (+ 1 (* 3 a))))) (* (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))) (- (* (sqr (* (* b b) (- 1 (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (* b b) (- 1 (sqr (* 3 a))))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (cube (+ 1 (* 3 a)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (* (* (sqr (- 1 a)) (cube (+ 1 (* a 3)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (sqr (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (sqr (- 1 a)) (cube (+ 1 (* a 3)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (sqr (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1647 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (74 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * * [misc]simplify: iters left: 4 (442 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a)))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* (* a a) (cube a)) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a))))))))) (* (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a)))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a)))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ (* (* a a) (cube a)) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a))))))))) (* (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a)))) (sqr (- (sqr (cube a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (96 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (* (- (* a a) (- a 1)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a)))) (* (- (* a a) (- a 1)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1648 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (397 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a))))))))) (* (* 4 (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a)))) (* (- 1 a) (- 1 a))) (sqr (- (sqr (cube a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a))))))))) (* (* 4 (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a)))) (* (- 1 a) (- 1 a))) (sqr (- (sqr (cube a)) (sqr (cube b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (80 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (- (* a a) (- a 1))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (- (* a a) (- a 1))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1649 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (440 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a)))))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a)))))))) (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (sqr (* (+ (* a a) (* b b)) (- (* a a) (* b b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (- 1 a) (- 1 a)))) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (- 1 a)) (- (* a a) (- a 1))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* a 3)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (* (sqr (- 1 a)) (- (* a a) (- a 1))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* a 3)) (sqr b)))))) * * * * [misc]progress: [ 1650 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (379 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a))) (* (* (- (* a a) (* b b)) (+ (* a a) (* b b))) (* (- (* a a) (* b b)) (+ (* a a) (* b b))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) 4)) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (* b b)))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a))) (* (* (- (* a a) (* b b)) (+ (* a a) (* b b))) (* (- (* a a) (* b b)) (+ (* a a) (* b b))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) 4)) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (* b b)))))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (sqr (- 1 a)) (- (* a a) (- a 1)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (sqr (- 1 a)) (- (* a a) (- a 1)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (sqr b)))))) * * * * [misc]progress: [ 1651 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (* (+ b a) (- a b))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* a a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a)))))))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (* (+ b a) (- a b))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* a a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a)))))))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (85 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (- (* a a) (- a 1)) (+ 1 (* a 3))) (+ 1 (* a 3))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (- (* a a) (- a 1)) (+ 1 (* a 3))) (+ 1 (* a 3))))) * * * * [misc]progress: [ 1652 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (369 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (cube a)) (* a a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- (* a a) (* b b))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (cube a)) (* a a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (* (- (* a a) (- a 1)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- (* a a) (* b b))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (- (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 (69 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (* (- (* a a) (- a 1)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (* (- (* a a) (- a 1)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1653 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (398 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* a a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* 4 (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (* b b))))))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* a a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* 4 (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- (* a a) (- a 1)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (- 1 a) (- 1 a)) (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (* b b))))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (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 (136 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ 1 (* a 3)) (+ (* a a) (- 1 a))) (+ 1 (* a 3)))) (* (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))) (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (+ 1 (* a 3)) (+ (* a a) (- 1 a))) (+ 1 (* a 3)))) (* (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))) (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))))) * * * * [misc]progress: [ 1654 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a))))))))) (* (* (* (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a))) (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a)))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (- (* (- (* a a) (- a 1)) (* (* (* b b) (- 1 (sqr (* 3 a)))) (* (* b b) (- 1 (sqr (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* a a) (* (* a a) (cube a))))))))) (* (* (* (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (+ 1 (* 3 a))) (* (* (+ (* a a) (* b b)) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [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 (263 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) * * * * [misc]progress: [ 1655 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b)))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 (* 3 a))) (* (- 1 (* a a)) (* (* b b) (* a a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (82 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 a) (sqr (- 1 a))) (* (+ 1 (* a 3)) (+ 1 (* a 3))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 a) (sqr (- 1 a))) (* (+ 1 (* a 3)) (+ 1 (* a 3))))))) * * * * [misc]progress: [ 1656 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (- 1 (* 3 a)) (* b b)) (* (* (- 1 (* a a)) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- 1 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (- 1 (* 3 a)) (* b b)) (* (* (- 1 (* a a)) (* a a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- 1 a)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 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 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (cube (- 1 a))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (cube (- 1 a))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 1657 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 (* a a)) (* a a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 (* a a)) (* a a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (sqr (- 1 a)) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (sqr (- 1 a)) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (sqr (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1658 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 (* a a)) (* a a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 (* a a)) (* a a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (370 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (sqr (- 1 a)) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (sqr (+ (* a a) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (sqr (- 1 a)) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (sqr (+ (* a a) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* a 3)) (sqr b))))) * * * * [misc]progress: [ 1659 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* a a)) (* a a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ 1 (* 3 a))))) (+ (* (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (cube (* (* a a) (+ 1 a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (* (- a b) (+ b a)) (* (- a b) (+ b a))) 4)))) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (- 1 (* 3 a)) (* b b))) (* (- 1 (* a a)) (* a a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 (* 3 a)) (- 1 a)) (+ 1 (* 3 a))))) (+ (* (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (cube (* (* a a) (+ 1 a)))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (* (- a b) (+ b a)) (* (- a b) (+ b a))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (71 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (373 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* a 3)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (cube (- 1 a)) (+ 1 (* a 3))) (+ 1 (* a 3))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* a 3)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (cube (- 1 a)) (+ 1 (* a 3))) (+ 1 (* a 3))))) * * * * [misc]progress: [ 1660 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) b)) b)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) 4)) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) b)) b)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (* (+ b a) (- a b)) (* (+ b a) (- a b))) 4)) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (cube (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (cube (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3)))))) * * * * [misc]progress: [ 1661 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b)))) 4) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (* (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 (* a a)) (* a a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b)))) 4) (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (* (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 (* a a)) (* a a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (cube (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (cube (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))))) * * * * [misc]progress: [ 1662 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 (* a a)) (* a a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (* b b) (* b b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (- 1 (* 3 a)) (* b b)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- 1 (* a a)) (* a a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 a) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a)))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (cube (- 1 a)) (+ 1 (* a 3))) (+ 1 (* a 3)))) (sqr (+ (* a a) (sqr b)))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (cube (- 1 a)) (+ 1 (* a 3))) (+ 1 (* a 3)))) (sqr (+ (* a a) (sqr b)))) * * * * [misc]progress: [ 1663 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (399 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))))) (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- 1 a) (- 1 a)) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))))) (* (* (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (* (- 1 a) (- 1 a)) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (101 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ 1 a) (* a a)) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a)))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (+ (* (cube (* (sqr b) (- 1 (* a 3)))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ 1 a) (* a a)) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a)))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (+ (* (cube (* (sqr b) (- 1 (* a 3)))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1664 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (334 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (- 1 a) (- 1 a)) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (* (* (* 4 (- (sqr (cube a)) (sqr (cube b)))) (- (sqr (cube a)) (sqr (cube b)))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (- 1 a) (- 1 a)) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (* (* (* 4 (- (sqr (cube a)) (sqr (cube b)))) (- (sqr (cube a)) (sqr (cube b)))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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))))) (- (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 (85 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3)))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a))))) (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))) (sqr (* (sqr b) (- 1 (* a 3))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3)))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a))))) (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))) (sqr (* (sqr b) (- 1 (* a 3))))))) * * * * [misc]progress: [ 1665 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)))) (* (* (sqr (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a)))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)))) (* (* (sqr (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* a 3))))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* a 3))))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1666 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* a a) (* b b)))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a)))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* a a) (* b b)))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a)))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a)))) (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3)))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a)))) (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3)))))))) * * * * [misc]progress: [ 1667 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * * [misc]simplify: iters left: 4 (369 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) (* (sqr (* (- a b) (+ b a))) 4))) (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) (* (sqr (* (- a b) (+ b a))) 4))) (* (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- 1 a) (- 1 a))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (90 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a)))) (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ 1 a) (* a a)) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a)))) (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ 1 a) (* a a)) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1668 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (* (- 1 a) (- 1 a)) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a))))))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (* (- 1 a) (- 1 a)) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a))))))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (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 (74 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (* (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))) (sqr (* (sqr b) (- 1 (* a 3)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))) (sqr (* (sqr b) (- 1 (* a 3)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1669 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (* (* (- 1 a) (- 1 a)) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (* b b) (- 1 (* 3 a)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (+ (* (* (* (- 1 a) (- 1 a)) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (* b b) (- 1 (* 3 a))))) (sqr (* (* b b) (- 1 (* 3 a)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (31 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (* (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ 1 a) (* a a)) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (sqr (* (sqr b) (- 1 (* a 3)))) (* (* (+ 1 a) (* a a)) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1670 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* a a) (* b b))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (- 1 a) (- 1 a)) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* a a) (* b b))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (* (* b b) (- 1 (* 3 a))))) (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (* (* b b) (- 1 (* 3 a))))))) (* (* (- 1 a) (- 1 a)) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (- 1 a) (- 1 a)))) (* (sqr (* (* b b) (- 1 (* 3 a)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (sqr (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (* (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))) (sqr (* (sqr b) (- 1 (* a 3)))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a))))) * [exit]simplify: Simplified to (* (* (sqr (* (sqr b) (- 1 (* a 3)))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))) (sqr (* (sqr b) (- 1 (* a 3)))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a))))) * * * * [misc]progress: [ 1671 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (357 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* (* (sqr (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))))) (* (* (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a)))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (sqr (cube a)) (cube (* b b))) (* 4 (- (sqr (cube a)) (cube (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* (* (sqr (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))))) (* (* (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a)))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (sqr (cube a)) (cube (* b b))) (* 4 (- (sqr (cube a)) (cube (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (90 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (sqr b) (- 1 (* a 3))) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3)))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (+ (* (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (sqr (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (sqr b) (- 1 (* a 3))) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3)))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (+ (* (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 1672 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (cube a) (cube a)) (sqr (cube b)))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) (* 4 (- (sqr (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (sqr (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (cube a) (cube a)) (sqr (cube b)))) (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) (* 4 (- (sqr (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (* (sqr (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr b) (- 1 (* a 3))) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a))))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))))) * [exit]simplify: Simplified to (* (* (* (* (sqr b) (- 1 (* a 3))) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a))))) (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))))) * * * * [misc]progress: [ 1673 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (355 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (* (- (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* a a) (+ 1 a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a))))) (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) (+ (* (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (sqr (- 1 a))) (* (- (sqr (* (* b b) (- 1 (* 3 a)))) (sqr (* (* a a) (+ 1 a)))) (sqr (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))) (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* b b) (- 1 (* 3 a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a))))) (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))) (* (sqr b) (- 1 (* a 3))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))) (* (sqr b) (- 1 (* a 3))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1674 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* (* (sqr (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a))))) (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) * [exit]simplify: Simplified to (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* (* (sqr (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (sqr (- 1 a))))) (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a))) (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a))) (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1675 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (* (sqr (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (* b b) (- 1 (* 3 a))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (* (+ b a) (- a b)) (* (+ b a) (- a b)))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a))))) 4))) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (* (sqr (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (* b b) (- 1 (* 3 a))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (* (+ b a) (- a b)) (* (+ b a) (- a b)))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (79 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (sqr (- 1 a)) (* (sqr b) (- 1 (* a 3)))) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (sqr (- 1 a)) (* (sqr b) (- 1 (* a 3)))) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1676 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (* (* (- a b) (+ b a)) (* (- a b) (+ b a))) 4)) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (* (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a))) (* (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (* (* (- a b) (+ b a)) (* (- a b) (+ b a))) 4)) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a)))))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (* (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (sqr (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))) (* (sqr b) (- 1 (* a 3)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))) (* (sqr b) (- 1 (* a 3)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a)) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (- 1 a))))) * * * * [misc]progress: [ 1677 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* (* (sqr (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (* (sqr (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- (cube (* a a)) (sqr (cube b)))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) 4))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (* (* (sqr (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (* b b) (- 1 (* 3 a))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (* (sqr (- 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a)))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- (cube (* a a)) (sqr (cube b)))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 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 (27 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (- 1 a))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (sqr b) (- 1 (* a 3))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 1678 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (sqr (- 1 a)) (sqr (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))) (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a)))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (sqr (- 1 a)) (sqr (* (* b b) (- 1 (* 3 a))))) (* (+ (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))) (- (* (* b b) (- 1 (* 3 a))) (* (* a a) (+ 1 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))))) (* (* (* (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- 1 a)))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (* (sqr (- 1 a)) b) (* (- 1 (* a 3)) b)) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (* (sqr (- 1 a)) b) (* (- 1 (* a 3)) b)) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 1679 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- (* (cube a) (cube a)) (sqr (cube b)))))) (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (* (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (sqr (- (* (cube a) (cube a)) (sqr (cube b)))))) (* 4 (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (* (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (98 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1680 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4)) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))))) (* (+ (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4)) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (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 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (- (* (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (- (* (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1681 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (- (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (- (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* a a) (sqr b))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (* (+ (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (sqr (+ (* a a) (sqr b))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1682 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (* (- (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))) (pow (* (+ 1 a) (* a a)) (+ 3 1)))) (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (- (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))) (pow (* (+ 1 a) (* a a)) (+ 3 1)))) (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1683 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (* (* (- a b) (+ b a)) (* (- a b) (+ b a))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (- (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (* (* (- a b) (+ b a)) (* (- a b) (+ b a))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (- (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (+ (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))) (- (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (+ (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))) (- (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1684 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (sqr (- (* a a) (* b b))))) (* (- (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (sqr (- (* a a) (* b b))))) (* (- (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (- (* (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (pow (* (+ 1 a) (* a a)) (+ 3 1))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (- (* (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (pow (* (+ 1 a) (* a a)) (+ 3 1))))) * * * * [misc]progress: [ 1685 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (* (- (sqr (cube a)) (* (cube b) (cube b))) 4)))) (* (* (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (* (- (sqr (cube a)) (* (cube b) (cube b))) (* (- (sqr (cube a)) (* (cube b) (cube b))) 4)))) (* (* (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (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 (30 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (* (- (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (- (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1686 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (* b b)))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (cube (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* a a) (* b b)))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4)) (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (- (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (* (- (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (- (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1687 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) 4) (- (sqr (cube a)) (sqr (cube b)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) 4) (- (sqr (cube a)) (sqr (cube b)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a))))))))) * [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 (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (166 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (sqr b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* a 3)) (sqr b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))))) * * * * [misc]progress: [ 1688 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* 4 (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (+ (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (* 4 (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) (* (+ (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))))))) * [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 (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 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (sqr (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (sqr (+ (* (sqr b) (sqr b)) (* (* a a) (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 1689 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (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 (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* a a) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))))) * [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))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (+ (* a a) (sqr b))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* a a) (sqr b))) (cube (* (- 1 (* a 3)) (sqr b)))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) * [exit]simplify: Simplified to (* (+ (* (sqr (+ (* a a) (sqr b))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* a a) (sqr b))) (cube (* (- 1 (* a 3)) (sqr b)))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) * * * * [misc]progress: [ 1690 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (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 (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a))))))) (* (* (* (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [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))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (sqr (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1691 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (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 (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (sqr (* (+ b a) (- a b))))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (sqr (* (+ b a) (- a b))))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1692 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (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 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))))) (* (* (- (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (* (- a b) (+ b a)) (* (- a b) (+ b a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (sqr (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))))) (* (* (- (cube (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* 4 (* (* (- a b) (+ b a)) (* (- a b) (+ b a))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))))))) * [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))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))))) * * * * [misc]progress: [ 1693 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (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)) (sqr (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 a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (* (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (* (* (* (- (cube (* a a)) (sqr (cube b))) 4) (- (cube (* a a)) (sqr (cube b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (+ (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b)))))) (* (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (* (* (* (- (cube (* a a)) (sqr (cube b))) 4) (- (cube (* a a)) (sqr (cube b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))))) * [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 (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) (- (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))))) * * * * [misc]progress: [ 1694 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (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 (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))))) (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (sqr (+ (* a a) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b)))))) (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))))) (* (* (+ (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (sqr (+ (* a a) (* b b))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) * [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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 1695 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (490 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (cube (sqr b))) (* 4 (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (cube (sqr b))) (* 4 (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (99 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1696 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (cube (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (sqr b)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (cube (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (sqr b)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (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))))) (- (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 (83 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1697 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (469 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (90 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1698 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (400 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a)))) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a)))) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (- (* a a) (- a 1)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 1699 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (465 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (sqr (- (* a a) (sqr b))) 4)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (+ (* (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (sqr (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (sqr (- (* a a) (sqr b))) 4)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (+ (* (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (sqr (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* a a) (- 1 a)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))))) * * * * [misc]progress: [ 1700 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (395 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (sqr (* (+ a b) (- a b))) 4) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (sqr b) (+ (* (cube a) (* a a)) (* a a))) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (sqr (* (+ a b) (- a b))) 4) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (sqr b) (+ (* (cube a) (* a a)) (* a a))) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (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))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (sqr (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * * * * [misc]progress: [ 1701 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (436 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a))))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a))))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (+ (* a a) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* 3 a) (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (* (* b b) (* b b))) (sqr (+ (* a a) (- 1 a)))) (+ (* (* a a) (+ (* b b) (* a a))) (* (* b b) (* b b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (- (* a a) a) 1) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (* (* b b) (* b b))) (sqr (+ (* a a) (- 1 a)))) (+ (* (* a a) (+ (* b b) (* a a))) (* (* b b) (* b b)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ (- (* a a) a) 1) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1702 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (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 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) 4) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) 4) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (* (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (sqr (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (+ (- (* a a) (- a 1)) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (sqr (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * * * * [misc]progress: [ 1703 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (404 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (- (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (sqr b) (+ (* (cube a) (* a a)) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* 4 (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (- (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (sqr b) (+ (* (cube a) (* a a)) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* 4 (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 1704 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (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 a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b)))) (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (- (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (sqr b) (+ (* a a) (* (cube a) (* a a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b)))) (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (- (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (sqr b) (+ (* a a) (* (cube a) (* a a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1705 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (383 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4))) (* (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4))) (* (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (sqr (+ (* b b) (* a a))) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (sqr (+ (* b b) (* a a))) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1706 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (+ (cube a) 1) (* (* a a) (sqr b)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (+ (cube a) 1) (* (* a a) (sqr b)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))))) * * * * [misc]progress: [ 1707 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (sqr (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (sqr b)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (+ (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (sqr (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (sqr b)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (+ (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (- (* a a) (- a 1)) (* (* 3 a) (- (* a a) (- a 1))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (- (* a a) (- a 1)) (* (* 3 a) (- (* a a) (- a 1))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1708 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))))))) (* (* (* (sqr (- (* a a) (sqr b))) 4) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))))))) (* (* (* (sqr (- (* a a) (sqr b))) 4) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))))) * [enter]simplify: Simplifying (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 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 (* 3 a)) (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 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 (* 3 a)) (+ (* a a) (- 1 a))))) * * * * [misc]progress: [ 1709 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (sqr b) (+ (* a a) (* (cube a) (* a a)))) (- 1 (sqr (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b)))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (sqr b) (+ (* a a) (* (cube a) (* a a)))) (- 1 (sqr (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b)))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* a a) (- 1 a)) (* (* 3 a) (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* a a) (- 1 a)) (* (* 3 a) (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 1710 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (+ 1 (* 3 a)) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* b b) (* a a))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) * * * * [misc]progress: [ 1711 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) b))) b) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* 4 (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) b))) b) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* 4 (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 1712 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (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))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (368 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 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)))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 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)))) * * * * [misc]progress: [ 1713 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (378 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (+ (* a a) (sqr b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (* (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (+ (* a a) (sqr b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* b b) (* a a)))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* b b) (* a a)))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * * * * [misc]progress: [ 1714 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (339 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* b b) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* b b) (* a a)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 1715 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4)) (* (+ (* (* (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4)) (* (+ (* (* (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 1716 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 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))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (sqr (- (* a a) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))) 4))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (sqr (- (* a a) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))) 4))) * [enter]simplify: Simplifying (* (* (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))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (- 1 a))))) * * * * [misc]progress: [ 1717 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (375 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- 1 a)) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (sqr (+ (* (* a a) (+ (* a a) (* b b))) (sqr (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- 1 a)) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (sqr (+ (* (* a a) (+ (* a a) (* b b))) (sqr (* b b))))) * * * * [misc]progress: [ 1718 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (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)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4)) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* a a))) (sqr b)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4)) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (sqr b) (- 1 (cube (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* a a))) (sqr b)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- 1 a)) (* (* (sqr (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (- 1 a)) (* (* (sqr (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) * * * * [misc]progress: [ 1719 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * * [misc]simplify: iters left: 4 (439 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (+ 1 (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* b (* (- 1 (* a a)) (* (* a a) b))) (- 1 (sqr (* 3 a))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ 1 (* 3 a)) (- 1 a))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) 4)))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (+ 1 (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* b (* (- 1 (* a a)) (* (* a a) b))) (- 1 (sqr (* 3 a))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ 1 (* 3 a)) (- 1 a))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) 4)))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 a) (+ 1 (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 a) (+ 1 (* 3 a)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) * * * * [misc]progress: [ 1720 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (* (- (* (cube a) (cube a)) (sqr (cube b))) 4))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (* (- (* (cube a) (cube a)) (sqr (cube b))) 4))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a))) (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- 1 a) (+ 1 (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a))) (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (* (- 1 a) (+ 1 (* 3 a)))) * * * * [misc]progress: [ 1721 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (420 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (- (* (* (+ 1 (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (- (* (* (+ 1 (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ 1 (* 3 a)) (- 1 a)) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1722 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (361 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ 1 (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ 1 (* 3 a)) (- 1 a)))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ 1 (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ 1 (* 3 a)) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (* 3 a) (- 1 a)) (- 1 a))) (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1723 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (408 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (+ 1 (* 3 a))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* b (* (- 1 (* a a)) (* (* a a) b))) (- 1 (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- 1 a) (+ 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (+ 1 (* 3 a))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* b (* (- 1 (* a a)) (* (* a a) b))) (- 1 (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- 1 a) (+ 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (86 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1724 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (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))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (355 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (* a a) (- 1 (* a a))) (- 1 (sqr (* 3 a)))) (sqr b))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (* a a) (- 1 (* a a))) (- 1 (sqr (* 3 a)))) (sqr b))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (- (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 (70 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) * * * * [misc]progress: [ 1725 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (* (cube a) (cube a)) (cube (sqr b))) (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (* a a) (- 1 (* a a))) (- 1 (sqr (* 3 a)))) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (- (* (cube a) (cube a)) (cube (sqr b))) (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (- (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (* a a) (- 1 (* a a))) (- 1 (sqr (* 3 a)))) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (* (* (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))))) * * * * [misc]progress: [ 1726 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (369 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (- 1 a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (- 1 a))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1727 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * * [misc]simplify: iters left: 4 (474 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* (cube a) (cube a)) (cube (sqr b))) (- (* (cube a) (cube a)) (cube (sqr b)))) 4))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* (cube a) (cube a)) (cube (sqr b))) (- (* (cube a) (cube a)) (cube (sqr b)))) 4))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (243 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 1728 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (410 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) 4)) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) 4)) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1729 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (445 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (87 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 1730 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) (* (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) (* (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (71 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) * * * * [misc]progress: [ 1731 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (439 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (sqr (- (* a a) (sqr b))) 4))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (sqr (- (* a a) (sqr b))) 4))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1732 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (378 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (sqr (* (+ a b) (- a b))) 4) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (sqr (* (+ a b) (- a b))) 4) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (cube (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 1733 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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 (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (400 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* 4 (- (* (cube a) (cube a)) (cube (sqr b)))) (- (* (cube a) (cube a)) (cube (sqr b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* 4 (- (* (cube a) (cube a)) (cube (sqr b)))) (- (* (cube a) (cube a)) (cube (sqr b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (59 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) * [exit]simplify: Simplified to (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) * * * * [misc]progress: [ 1734 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (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)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) * * * * [misc]progress: [ 1735 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * * [misc]simplify: iters left: 4 (409 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (cube (sqr b))) 4) (- (* (cube a) (cube a)) (cube (sqr b)))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a))))) (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ 1 (* 3 a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (* a a) (+ 1 a)) (sqr b)) (- 1 (sqr (* 3 a))))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (+ 1 (* 3 a)) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (cube (sqr b))) 4) (- (* (cube a) (cube a)) (cube (sqr b)))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a))))) (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ 1 (* 3 a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (* a a) (+ 1 a)) (sqr b)) (- 1 (sqr (* 3 a))))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (+ 1 (* 3 a)) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (98 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 1736 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (367 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (+ 1 (* 3 a))) (* (* (* 4 (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (* a a) (+ 1 a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (+ 1 (* 3 a))) (* (* (* 4 (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (* a a) (+ 1 a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 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 (82 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 1737 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (404 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a))))) (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a))))) (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (89 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) * * * * [misc]progress: [ 1738 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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))))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (344 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (+ 1 (* 3 a)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (* a a) (+ 1 a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (+ 1 (* 3 a)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (* a a) (+ 1 a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ 1 (* 3 a))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (+ 1 (* 3 a))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 1739 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (+ 1 (* 3 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (399 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (+ 1 (* 3 a)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (* (+ 1 (* 3 a)) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (+ 1 (* 3 a)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (* (+ 1 (* 3 a)) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ 1 (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ 1 (* 3 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))))) * * * * [misc]progress: [ 1740 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (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))))) (+ 1 (* 3 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (* (+ 1 (* 3 a)) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b)))))))) (* (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (+ 1 (* 3 a)) (* (- (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (* (+ 1 (* 3 a)) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (+ 1 (* 3 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b)))))))) (* (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (+ 1 (* 3 a)) (* (- (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (416 enodes) * [exit]simplify: Simplified to (* (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ 1 (* 3 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (* (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1)) (+ 1 (* 3 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1741 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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))))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ 1 (* 3 a))))) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ 1 (* 3 a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (* a a) (+ 1 a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (* (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (* (sqr (- (* (cube a) (cube a)) (sqr (cube b)))) 4)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ 1 (* 3 a))))) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ 1 (* 3 a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (* a a) (+ 1 a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (* (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (* (sqr (- (* (cube a) (cube a)) (sqr (cube b)))) 4)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ 1 (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ 1 (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (+ 1 (* 3 a)))) * * * * [misc]progress: [ 1742 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (350 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (sqr (+ (* a a) (sqr b))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ 1 (* 3 a))) (* (* (* (* (* (* a a) (+ 1 a)) (sqr b)) (- 1 (sqr (* 3 a)))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (sqr (+ (* a a) (sqr b))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ 1 (* 3 a))) (* (* (* (* (* (* a a) (+ 1 a)) (sqr b)) (- 1 (sqr (* 3 a)))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ 1 (* 3 a)))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ 1 (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ 1 (* 3 a))))) * * * * [misc]progress: [ 1743 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * * [misc]simplify: iters left: 4 (452 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (* (cube a) (cube a)) (cube (sqr b)))) (- (* (cube a) (cube a)) (cube (sqr b)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (* (cube a) (cube a)) (cube (sqr b)))) (- (* (cube a) (cube a)) (cube (sqr b)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (236 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * * * * [misc]progress: [ 1744 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (393 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) 4)) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- (* (cube a) (cube a)) (cube (sqr b))) (- (* (cube a) (cube a)) (cube (sqr b))))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) 4)) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- (* (cube a) (cube a)) (cube (sqr b))) (- (* (cube a) (cube a)) (cube (sqr b))))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 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 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (- (* a a) (- a 1))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))))) (- (* a a) (- a 1))) * * * * [misc]progress: [ 1745 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (434 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- (* a a) (- a 1))))) (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- (* a a) (- a 1))))) (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- (* a a) (- a 1)) (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (87 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (+ (* a a) (- 1 a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 1746 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (71 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (- (* a a) a)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (- (* a a) a)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 1747 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * * [misc]simplify: iters left: 4 (428 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (- (* a a) (- a 1)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (* a a) (sqr b))) 4)) (* (- (* a a) (- a 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (- (* a a) (- a 1)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (* a a) (sqr b))) 4)) (* (- (* a a) (- a 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* a a) a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (+ (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* a a) a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1748 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (- (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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (356 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (* (sqr (* (+ a b) (- a b))) 4) (* (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (* (sqr (* (+ a b) (- a b))) 4) (* (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (* (* (+ (- (* a a) a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (+ (- (* a a) a) 1) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1749 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (383 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (- (* a a) (- a 1)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (- (* a a) (- a 1)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (sqr b) (- 1 (* 3 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (sqr (- (* a a) (- a 1)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))) * [exit]simplify: Simplified to (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (* (* (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (sqr (- (* a a) (- a 1)))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))) (- (* a a) (- a 1)))) * * * * [misc]progress: [ 1750 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (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 (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (- (* a a) (- a 1))) (* (+ (* (* (- (* a a) (- a 1)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (sqr b)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (- (* a a) (- a 1))) (* (+ (* (* (- (* a a) (- a 1)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (- 1 (* 3 a)) (* (+ (cube a) 1) (* (* a a) (sqr b)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (* (* (+ (- (* a a) a) 1) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (+ (- (* a a) a) 1) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1751 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (- 1 a))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (* 4 (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) (* (+ (* (- 1 a) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (* 4 (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) (* (+ (* (- 1 a) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (91 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1752 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (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)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- 1 a))) (* (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- 1 a))) (* (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 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 (75 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (+ (* b b) (* a a)) (* b b))) (+ (sqr (* a a)) (* (+ (* b b) (* a a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- 1 a) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (sqr (* a a)) (* (+ (* b b) (* a a)) (* b b))) (+ (sqr (* a a)) (* (+ (* b b) (* a a)) (* b b)))))) * * * * [misc]progress: [ 1753 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (- 1 a))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (352 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- 1 a))) (* (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- 1 a))) (* (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (82 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))))) * * * * [misc]progress: [ 1754 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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))))) (- 1 a))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (- (sqr (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- 1 a)) (* (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (- (sqr (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- 1 a)) (* (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1755 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (- 1 a))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (* (- 1 a) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (* (- 1 a) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))))) * * * * [misc]progress: [ 1756 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (- (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))))) (- 1 a))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- 1 a))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* 3 a)) (sqr b)))))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- 1 a))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* 3 a)) (sqr b)))))))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1757 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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))))) (- 1 a))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (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 (324 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- 1 a))) (* (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) 4)))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- 1 a))) (* (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* a a) (- 1 (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* a a) (+ (* b b) (* a a))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (* (* b b) (* b b)))) (* (* (- 1 a) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (+ (* (* a a) (+ (* b b) (* a a))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (* (* b b) (* b b)))) (* (* (- 1 a) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a)))))) * * * * [misc]progress: [ 1758 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* a a) (sqr b))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- 1 a))) (* (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* a a) (sqr b))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- 1 a))) (* (- (* (- 1 a) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (* 3 a)) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (- 1 a)) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))))) (- 1 a)) * * * * [misc]progress: [ 1759 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (480 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (* (sqr (- (* a a) (- a 1))) (* (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (* (sqr (- (* a a) (- a 1))) (* (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 1760 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ (* 3 a) 1)) (+ 1 (- (* a a) a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))) (* (- 1 (cube (* 3 a))) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ (* 3 a) 1)) (+ 1 (- (* a a) a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))) (* (- 1 (cube (* 3 a))) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1761 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (434 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (sqr (+ (* 3 a) 1)) (+ (* a a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4))) (sqr (+ (* a a) (- 1 a)))) (* (* (+ (* (* (* (sqr (+ (* 3 a) 1)) (+ (* a a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (* 3 a) 1)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (sqr (+ (* 3 a) 1)) (+ (* a a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4))) (sqr (+ (* a a) (- 1 a)))) (* (* (+ (* (* (* (sqr (+ (* 3 a) 1)) (+ (* a a) (- 1 a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (* 3 a) 1)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (sqr (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (sqr (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 1762 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ (* 3 a) 1)) (+ 1 (- (* a a) a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (sqr b)))) (sqr (+ (* 3 a) 1))))))) (* (* (* (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* 4 (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ (* 3 a) 1)) (+ 1 (- (* a a) a)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (+ (cube a) 1) (* (* a a) (sqr b)))) (sqr (+ (* 3 a) 1))))))) (* (* (* (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* 4 (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (sqr (+ (* b b) (* a a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (+ (* a a) (- 1 a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (sqr (+ (* b b) (* a a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 1763 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (453 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* a a) (- a 1)))) (* (- (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4)) (* (+ (* (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (sqr (- (* a a) (- a 1)))) (* (- (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4)) (* (+ (* (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a)))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1764 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (sqr (+ (* 3 a) 1)) (+ 1 (- (* a a) a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b))))))) (* (* (sqr (- (* a a) (sqr b))) (* (* (sqr (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))))) (* (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (sqr (+ (* 3 a) 1)) (+ 1 (- (* a a) a))) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b))))))) (* (* (sqr (- (* a a) (sqr b))) (* (* (sqr (+ (* 3 a) 1)) (sqr (+ (* a a) (- 1 a)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))))) (* (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (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))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (* a a) (- a 1)))) (+ 1 (+ (* 3 a) (* (* 3 a) (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1765 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (* (* (sqr (+ (* 3 a) 1)) (+ (- (* a a) a) 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a))))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* 4 (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (* (* (sqr (+ (* 3 a) 1)) (+ (- (* a a) a) 1)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a))))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1))) (* (+ (* a a) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a)))) (* (* 4 (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 1766 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 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 b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (403 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ (* 3 a) 1)) (+ 1 (- (* a a) a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (sqr (+ (* 3 a) 1)) (+ 1 (- (* a a) a)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (- (* a a) (- a 1)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* b b) (* a a))) (sqr (+ (* a a) (- 1 a)))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* b b) (* a a))) (sqr (+ (* a a) (- 1 a)))) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (+ (* a a) (- 1 a))))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a))) * * * * [misc]progress: [ 1767 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (409 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a))))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) (* (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1)))) (* 4 (sqr (- (* (cube a) (cube a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a))))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) (* (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1)))) (* 4 (sqr (- (* (cube a) (cube a)) (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))) * * * * [misc]progress: [ 1768 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1)))) (* (- (* (cube a) (cube a)) (cube (sqr b))) (* 4 (- (* (cube a) (cube a)) (cube (sqr b)))))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1)))) (* (- (* (cube a) (cube a)) (cube (sqr b))) (* 4 (- (* (cube a) (cube a)) (cube (sqr b)))))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))))))) * [enter]simplify: Simplifying (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1769 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (368 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (sqr (- (* a a) (- a 1))) (- (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))))))) (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (sqr (- (* a a) (- a 1))) (- (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))))))) (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 1770 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a)))))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a)))))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (sqr (+ (* a a) (- 1 a))) (sqr (+ (* 3 a) 1)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * * * * [misc]progress: [ 1771 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (sqr (- (* a a) (- a 1))) (- (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))))) (+ (* (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (sqr (- (* a a) (- a 1))) (- (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))))) (+ (* (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* 3 a) 1) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* 3 a) 1) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1772 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) 4)) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ (* 3 a) 1))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) 4)) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * * [misc]simplify: iters left: 2 (488 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1773 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))))))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1))) (+ (* a a) (- 1 a))) (* (+ (* a a) (- 1 a)) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (sqr (+ (* a a) (- 1 a))) (- (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))))))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1))) (+ (* a a) (- 1 a))) (* (+ (* a a) (- 1 a)) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (sqr (+ (* a a) (- 1 a)))) (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (sqr (+ (* a a) (- 1 a)))) (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 1774 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (338 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* a a) (- 1 a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* a a) (- 1 a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (+ (* a a) (- 1 a)))) (- (* (* (+ (* a a) (- 1 a)) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* b b) (* a a)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (+ (* b b) (* a a))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* b b) (* a a)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (+ (* b b) (* a a))) * * * * [misc]progress: [ 1775 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr 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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a)))))) (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a)))))) (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))) (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (* (* (* (- 1 a) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (* (* (* (- 1 a) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))))) * * * * [misc]progress: [ 1776 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a))) (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a))) (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1777 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (428 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))))) (* (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (- (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))))) (* (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (- (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* a a) (* b b)))) (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* a a) (* b b)))) (+ (* a a) (* b b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1778 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 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)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (369 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (sqr (* 3 a))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (- 1 a) (sqr (* 3 a))))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1779 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (417 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (- 1 a)))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) 4))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (+ (* (- (* (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (- 1 a)))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) 4))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (+ (* (- (* (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (* (- 1 a) (+ (* 3 a) (+ 1 (sqr (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (86 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1780 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 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))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- 1 a)) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- 1 a))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))) (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- 1 a)) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- 1 a))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (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 (70 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ (+ (sqr (* 3 a)) 1) (* 3 a))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1781 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (cube (sqr b))) (* 4 (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (- (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube a) (cube a)) (cube (sqr b))) (* 4 (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (- (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (- 1 a)) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (* (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a))) (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (* (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a))) (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1782 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (379 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (- (* (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ (* 3 a) 1))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (- (* (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))) (sqr (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (sqr (+ (* 3 a) 1)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ (* 3 a) 1))) (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (+ (- 1 a) (* (+ (sqr (* 3 a)) (* 3 a)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)))) * * * * [misc]progress: [ 1783 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * * [misc]simplify: iters left: 4 (407 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (sqr (- (* a a) (- a 1)))) (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) 4))) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (sqr (- (* a a) (- a 1)))) (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) 4))) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * * * * [misc]progress: [ 1784 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (343 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) 4)) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) 4)) (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (- (* a a) (- a 1)) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))))))) * [enter]simplify: Simplifying (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) * * * * [misc]progress: [ 1785 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* (* (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* (* (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (sqr b)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (* a a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (* a a) (sqr b)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (+ (* a a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1786 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (316 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (sqr (- (* a a) (- a 1)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (- 1 (* (* 3 a) (* 3 a))))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (sqr (- (* a a) (- a 1)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (- 1 (* (* 3 a) (* 3 a))))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (353 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (sqr (+ (* a a) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) * * * * [misc]progress: [ 1787 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (370 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (sqr (- (* a a) (- a 1)))) (* (sqr (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (+ (* (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (- 1 (* (* 3 a) (* 3 a))))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) (+ (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (sqr (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (sqr (- (* a a) (- a 1)))) (* (sqr (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (+ (* (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (sqr (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (- 1 (* (* 3 a) (* 3 a))))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))))) (+ (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (sqr (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (175 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 1788 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* (sqr (- (* a a) (sqr b))) 4)) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* (sqr (- (* a a) (sqr b))) 4)) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (sqr (+ (* 3 a) 1)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* (* 3 a) (- 1 a)) (- 1 a)))) * * * * [misc]progress: [ 1789 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) (* (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (sqr (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (* (+ (* 3 a) 1) (- 1 a))) (* (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a)))) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) (* (* (sqr (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))) (sqr (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))))) * [exit]simplify: Simplified to (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a))))) * * * * [misc]progress: [ 1790 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- 1 a) (+ (* 3 a) 1))) (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a))))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- 1 a) (+ (* 3 a) 1))) (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (- 1 (* (* 3 a) (* 3 a))) (sqr b)) (* (sqr (+ (* 3 a) 1)) (* (* a a) (- 1 (* a a))))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (+ (* a a) (sqr b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (+ (* a a) (sqr b)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a))))) * * * * [misc]progress: [ 1791 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * * [misc]simplify: iters left: 4 (461 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b))))))) (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a)))))) (* (* (sqr (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (98 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (* 3 a) (+ (* (* 3 a) (* 3 a)) 1))))) * * * * [misc]progress: [ 1792 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (425 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b))))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (sqr (+ 1 (* 3 a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (sqr (+ 1 (* 3 a)))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b))))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (+ (sqr (+ 1 (* 3 a))) (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (sqr (+ 1 (* 3 a)))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (82 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))))) * * * * [misc]progress: [ 1793 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (460 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ 1 (* 3 a))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ 1 (* 3 a))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (89 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1794 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (396 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) 4))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (sqr (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) 4))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (sqr (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (+ (* 3 a) (* (* 3 a) (* 3 a)))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)))) * * * * [misc]progress: [ 1795 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ 1 (* 3 a))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (sqr (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ 1 (* 3 a))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (sqr (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) * * * * [misc]progress: [ 1796 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (389 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (sqr (+ 1 (* 3 a)))))) (* (+ (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (sqr (+ 1 (* 3 a)))) (sqr (+ 1 (* 3 a)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* 4 (* (- (* a a) (sqr b)) (- (* a a) (sqr b))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (- 1 (cube (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (sqr (+ 1 (* 3 a)))))) (* (+ (* (+ (* 3 a) (* (* 3 a) (* 3 a))) (sqr (+ 1 (* 3 a)))) (sqr (+ 1 (* 3 a)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))))) (* (* (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a))))) (* 4 (* (- (* a a) (sqr b)) (- (* a a) (sqr b))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1))) * * * * [misc]progress: [ 1797 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (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 (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (432 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (sqr (+ 1 (* 3 a))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1) (sqr (+ 1 (* 3 a))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (cube (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (* 4 (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 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 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a)))) (+ (sqr (* a a)) (* (* b b) (+ (* b b) (* a a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (+ (* (* 3 a) (* 3 a)) 1) (* 3 a)))) * * * * [misc]progress: [ 1798 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (sqr (+ (* a a) (sqr b))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (* (sqr (+ 1 (* 3 a))) (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (+ 1 a) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (sqr (+ (* a a) (sqr b))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (+ (* (sqr (+ 1 (* 3 a))) (+ (* 3 a) (* (* 3 a) (* 3 a)))) (sqr (+ 1 (* 3 a))))) (* (- (* (sqr (* (- 1 (* (* 3 a) (* 3 a))) (sqr b))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (* (+ 1 a) (* a a)) (sqr (+ 1 (* 3 a)))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ 1 (* 3 a)))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (* (* 3 a) (* 3 a))) 1)) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1799 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4)) (* (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (* (* 3 a) (* 3 a)))) (sqr (+ (* 3 a) 1))))))))) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4)) (* (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (* (* 3 a) (* 3 a)))) (sqr (+ (* 3 a) 1))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (89 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * * * * [misc]progress: [ 1800 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (* 3 a) 1))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a)))) (sqr (+ (* 3 a) 1))))))) (* (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (sqr (- (* (cube a) (cube a)) (cube (sqr b))))) 4) (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (* 3 a) 1))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a)))) (sqr (+ (* 3 a) 1))))))) (* (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (sqr (- (* (cube a) (cube a)) (cube (sqr b))))) 4) (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 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 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) * * * * [misc]progress: [ 1801 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (375 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) 4)) (* (+ (* (* (sqr (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (* (sqr (+ (* a a) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a)))) (sqr (+ (* 3 a) 1))))))))) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) 4)) (* (+ (* (* (sqr (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (* (sqr (+ (* a a) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (cube (+ (* 3 a) 1))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a)))) (sqr (+ (* 3 a) 1))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr b) (* a a))) (* (cube (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr b) (* a a))) (* (cube (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1802 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (* 3 a) 1))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a)))) (sqr (+ (* 3 a) 1))))))) (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1))))) 4) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (cube (+ (* 3 a) 1))) (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a)))) (sqr (+ (* 3 a) 1))))))) (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1))))) 4) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr b) (* a a))) (* (cube (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (sqr (+ (sqr b) (* a a))) (* (cube (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))))) * * * * [misc]progress: [ 1803 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))) (+ 1 (* 3 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (sqr (* (+ a b) (- a b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (* (* 3 a) (* 3 a)))) (sqr (+ (* 3 a) 1))))) (* (cube (+ (* 3 a) 1)) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (sqr (* (+ a b) (- a b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (* a a) (+ 1 a)))))) (* (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (* (* 3 a) (* 3 a)))) (sqr (+ (* 3 a) 1))))) (* (cube (+ (* 3 a) 1)) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))))) * * * * [misc]progress: [ 1804 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (* (* 3 a) (* 3 a)))) (sqr (+ (* 3 a) 1))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (cube (+ (* 3 a) 1)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (* (* 3 a) (* 3 a)))) (sqr (+ (* 3 a) 1))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (cube (+ (* 3 a) 1)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1805 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (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))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (359 enodes) * [exit]simplify: Simplified to (+ (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a)))) (sqr (+ (* 3 a) 1))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (+ (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (- 1 (* (* 3 a) (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a)))) (sqr (+ (* 3 a) 1))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* 3 a) 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 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 (137 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (* (* (* (cube (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) * [exit]simplify: Simplified to (* (* (* (cube (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) * * * * [misc]progress: [ 1806 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (* (* 3 a) (* 3 a)))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (cube (+ (* 3 a) 1)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) 4) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (* (* 3 a) (* 3 a)))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (cube (+ (* 3 a) 1)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (* (* (* (cube (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) 4) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (cube (+ (* 3 a) 1))) * * * * [misc]progress: [ 1807 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * * [misc]simplify: iters left: 4 (434 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1))))) (* (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1))))) (* (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (89 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))))) * * * * [misc]progress: [ 1808 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1)))))) (* (* (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (sqr (- (* a a) (- a 1)))) (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) 4)) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1)))))) (* (* (* (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))) (sqr (- (* a a) (- a 1)))) (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) 4)) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (+ (* a a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (+ (* a a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))))) (* (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))) (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) * * * * [misc]progress: [ 1809 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (* 3 a) 1)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (sqr (- (* a a) (- a 1)))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (+ 1 a) (* a a))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (* 3 a) 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr b) (* a a)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ (sqr b) (* a a))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (+ (sqr b) (* a a)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ (sqr b) (* a a))))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1810 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (340 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1)))))) (* (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1)))))) (* (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (425 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr b) (* a a))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr b) (* a a))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1811 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (410 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (sqr (* (+ a b) (- a b))))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (sqr (* (+ a b) (- a b))))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (- (* a a) (- a 1))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (sqr (+ (* 3 a) 1)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* a a) (- 1 a))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (* a a) (- 1 a))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1812 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (- (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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (335 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) 4) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (* 3 a))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (sqr (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) 4) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (sqr (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (* (+ (cube a) 1) (* (* a a) (sqr b))) (- 1 (* 3 a))) (sqr (+ (* 3 a) 1))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (- (* a a) (- a 1)))) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (- (* a a) (- a 1)))) * * * * [misc]progress: [ 1813 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (378 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (sqr (- (* a a) (- a 1))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* 4 (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (- 1 (* 3 a)) (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) 1) (* (* a a) (sqr b))))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (sqr (- (* a a) (- a 1))) (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* 4 (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* (sqr (- (* a a) (- a 1))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (- 1 (* 3 a)) (* (sqr (+ (* 3 a) 1)) (* (+ (cube a) 1) (* (* a a) (sqr b))))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (150 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* (+ (* b b) (* a a)) (* b b)) (sqr (* a a))) (+ (* (+ (* b b) (* a a)) (* b b)) (sqr (* a a))))) * [exit]simplify: Simplified to (* (* (- (* a a) (- a 1)) (* (sqr (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* (+ (* b b) (* a a)) (* b b)) (sqr (* a a))) (+ (* (+ (* b b) (* a a)) (* b b)) (sqr (* a a))))) * * * * [misc]progress: [ 1814 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (sqr b))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (sqr b))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- (* a a) (- a 1)))) (- (* (- (* a a) (- a 1)) (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))))) (* (* (sqr (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (sqr (+ (* 3 a) 1))) (sqr (- (* a a) (- a 1)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr b) (* a a))) (sqr (+ (* a a) (- 1 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr b) (* a a))) (sqr (+ (* a a) (- 1 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (- 1 a)))) * * * * [misc]progress: [ 1815 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))) (- 1 a))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (* 3 a) 1) (- 1 a)) (+ (* 3 a) 1))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) 4))) (* (+ (* (* (- 1 a) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ (* 3 a) 1)))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ (* 3 a) 1) (- 1 a)) (+ (* 3 a) 1))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) 4))) (* (+ (* (* (- 1 a) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ (* 3 a) 1)))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) * * * * [misc]progress: [ 1816 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (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)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* 3 a) 1) (- 1 a)) (+ (* 3 a) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (sqr b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (+ (* 3 a) 1) (- 1 a)) (+ (* 3 a) 1))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (sqr b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 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 (32 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (sqr (+ (* (* a a) (+ (* a a) (sqr b))) (* (sqr b) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1817 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))) (- 1 a))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (* (- 1 a) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- 1 a) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (* (- 1 a) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))) (* (- 1 a) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 1818 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1)))))))) (* (* (* (- 1 a) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1)))))))) (* (* (* (- 1 a) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * * * * [misc]progress: [ 1819 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))) (- 1 a))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1)))))) (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (- (* a a) (sqr b))) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1)))))) (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))))) (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (sqr (- (* a a) (sqr b))) (- 1 a)) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (353 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1820 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ (* 3 a) 1))) (* (* (- 1 a) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (sqr b) (- 1 (* 3 a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (sqr (- (* a a) (sqr b))) 4)) (* (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (sqr (+ (* 3 a) 1))) (* (* (- 1 a) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))) (* (sqr b) (- 1 (* 3 a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr (+ (* 3 a) 1)) (- 1 a))) (* (sqr (- (* a a) (sqr b))) 4)) (* (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (- 1 a)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 a) 1) (- 1 a)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 1821 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr 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))) (- 1 a))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (cube a) (cube a)) (sqr (cube b)))) (* (- 1 a) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))))) (* 4 (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (cube a) (cube a)) (sqr (cube b)))) (* (- 1 a) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (+ (* 3 a) 1))))) (* 4 (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (* (* (sqr (+ (* 3 a) 1)) (- 1 a)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a)))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (sqr (+ (* (+ (* a a) (sqr b)) (sqr b)) (sqr (* a a))))) * * * * [misc]progress: [ 1822 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (- 1 a))) (+ (* 3 a) 1))) (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (* (- 1 a) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (- 1 a))) (+ (* 3 a) 1))) (* (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (+ (* 3 a) 1))) (* (- 1 a) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (* (* 3 a) (* 3 a))) (- 1 (* (* 3 a) (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (sqr (+ (* 3 a) 1))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1))) * * * * [misc]progress: [ 1823 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (cube (sqr b))) (- (* (cube a) (cube a)) (cube (sqr b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* (cube a) (cube a)) (cube (sqr b))) (- (* (cube a) (cube a)) (cube (sqr b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (102 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* a 3)))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (+ (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (* a a) (+ 1 a)) (+ (* (sqr b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* a 3)))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (* (+ (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (sqr (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (* a a) (+ 1 a)) (+ (* (sqr b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) * * * * [misc]progress: [ 1824 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (* (- (* (cube a) (cube a)) (cube (sqr b))) (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (* (- (* (cube a) (cube a)) (cube (sqr b))) (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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))))) (- (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 (86 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* a 3)))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (* a a) (+ 1 a)) (+ (* (* a a) (+ 1 a)) (* (sqr b) (- 1 (* a 3)))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* a 3)))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (* a a) (+ 1 a)) (+ (* (* a a) (+ 1 a)) (* (sqr b) (- 1 (* a 3)))))))) * * * * [misc]progress: [ 1825 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (94 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))) (+ (* (* (* a a) (+ 1 a)) (+ (* (sqr b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * [exit]simplify: Simplified to (* (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))) (+ (* (* (* a a) (+ 1 a)) (+ (* (sqr b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) * * * * [misc]progress: [ 1826 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (sqr b)) (* (sqr b) (sqr b)))) (* (sqr (- 1 (* 3 a))) (sqr (- 1 (* 3 a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (sqr b)) (* (sqr b) (sqr b)))) (* (sqr (- 1 (* 3 a))) (sqr (- 1 (* 3 a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3)))) (* (* a a) (+ 1 a))) (* (+ (* (sqr b) (- 1 (* a 3))) (* (* a a) (+ 1 a))) (* (sqr b) (- 1 (* a 3)))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* a 3))))))) * [exit]simplify: Simplified to (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3)))) (* (* a a) (+ 1 a))) (* (+ (* (sqr b) (- 1 (* a 3))) (* (* a a) (+ 1 a))) (* (sqr b) (- 1 (* a 3)))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* a 3))))))) * * * * [misc]progress: [ 1827 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * * [misc]simplify: iters left: 4 (370 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) (+ (* (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b)))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (* a a) (+ 1 a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (* a a) (+ 1 a))))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (* a a) (+ 1 a))))) (* (sqr (* (- a b) (+ a b))) 4)))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) (+ (* (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (sqr (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (* a a) (+ 1 a)) (* (- 1 (* 3 a)) (sqr b)))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (* a a) (+ 1 a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (* a a) (+ 1 a))))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (* a a) (+ 1 a))))) (* (sqr (* (- a b) (+ a b))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (* a a) (+ 1 a)) (+ (* (* a a) (+ 1 a)) (* (sqr b) (- 1 (* a 3)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))))) (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (* a a) (+ 1 a)) (+ (* (* a a) (+ 1 a)) (* (sqr b) (- 1 (* a 3)))))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))))) (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 1828 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (+ (* (+ (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (sqr b)) (* (sqr b) (sqr b)))) (sqr (sqr (- 1 (* 3 a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (sqr (* (+ a b) (- a b))) 4) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (+ (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (sqr b)) (* (sqr b) (sqr b)))) (sqr (sqr (- 1 (* 3 a))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (sqr (* (+ a b) (- a b))) 4) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* a 3))))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))))) (* (* (* (sqr b) (- 1 (* a 3))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3))))) (* (+ (* (sqr b) (- 1 (* a 3))) (* (* a a) (+ 1 a))) (* (* a a) (+ 1 a)))))) * [exit]simplify: Simplified to (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* a 3))))) (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))))) (* (* (* (sqr b) (- 1 (* a 3))) (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3))))) (* (+ (* (sqr b) (- 1 (* a 3))) (* (* a a) (+ 1 a))) (* (* a a) (+ 1 a)))))) * * * * [misc]progress: [ 1829 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (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 (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (339 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (- (* (cube a) (cube a)) (cube (sqr b))) (* 4 (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (- (* (cube a) (cube a)) (cube (sqr b))) (* 4 (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (31 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))))) (* (* (+ (* (sqr b) (- 1 (* a 3))) (* (* a a) (+ 1 a))) (* (* a a) (+ 1 a))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3)))) (* (sqr b) (- 1 (* a 3)))))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) * [exit]simplify: Simplified to (* (+ (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3)))))) (* (* (+ (* (sqr b) (- 1 (* a 3))) (* (* a a) (+ 1 a))) (* (* a a) (+ 1 a))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3)))) (* (sqr b) (- 1 (* a 3)))))) (* (+ (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))) (+ (* (* a a) (+ (* a a) (sqr b))) (sqr (sqr b))))) * * * * [misc]progress: [ 1830 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4)))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (* a a) (+ 1 a)) (+ (* (sqr b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) * [exit]simplify: Simplified to (* (+ (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* a 3))) (* (sqr b) (- 1 (* a 3))))) (* (* (* a a) (+ 1 a)) (+ (* (sqr b) (- 1 (* a 3))) (* (* a a) (+ 1 a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) * * * * [misc]progress: [ 1831 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * * [misc]simplify: iters left: 4 (341 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (- (* (cube a) (cube a)) (sqr (cube b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (91 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1832 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (sqr b) (- 1 (* a 3)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a)))) (* (* (+ (sqr (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (sqr (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a))) (* (sqr b) (- 1 (* a 3)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a)))) (* (* (+ (sqr (sqr b)) (* (* a a) (+ (* a a) (sqr b)))) (+ (sqr (sqr b)) (* (* a a) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))))) * * * * [misc]progress: [ 1833 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (+ (sqr 1) (- (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)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (sqr (+ (* a a) (sqr b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (sqr (+ (* a a) (sqr b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* a 3)))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3)))) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* a 3)))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3)))) (+ (* (+ 1 a) (* a a)) (* (sqr b) (- 1 (* a 3))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * * * * [misc]progress: [ 1834 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (+ (sqr 1) (- (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)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) 4)) (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) 4)) (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 1835 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (+ (sqr 1) (- (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 (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (+ a b) (- a b)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (sqr (* (+ a b) (- a b)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (sqr b) (- 1 (* a 3)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 1836 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (+ (sqr 1) (- (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 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* 4 (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* 4 (* (* (- a b) (+ a b)) (* (- a b) (+ a b)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))) (* (* (* (sqr b) (- 1 (* a 3))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* a 3))))) (* (* (* (sqr b) (- 1 (* a 3))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 1837 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (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 b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (+ (* (* (+ (* (cube a) (* a a)) (* a a)) (+ (* (cube a) (* a a)) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (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 (27 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (* (* (sqr b) (- 1 (* a 3))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (* (* (sqr b) (- 1 (* a 3))) (* (+ (* a a) (- 1 a)) (+ (* a a) (- 1 a)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a))))) * * * * [misc]progress: [ 1838 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (+ (pow 1 3) (pow a 3)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (+ (sqr 1) (- (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)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (* a a) (* (cube a) (* a a))) (+ (* a a) (* (cube a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- 1 (* 3 a)) (sqr b)) (* (- 1 (* 3 a)) (sqr b))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (- a 1)) (- (* a a) (- a 1))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) * [enter]simplify: Simplifying (* (* (sqr (+ (sqr 1) (- (sqr a) (* 1 a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (* (* (* (* (sqr b) (- 1 (* a 3))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) * [exit]simplify: Simplified to (* (* (* (* (sqr b) (- 1 (* a 3))) (* (- (* a a) (- a 1)) (- (* a a) (- a 1)))) (+ (* (sqr b) (- 1 (* a 3))) (* (+ 1 a) (* a a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) * * * * [misc]progress: [ 1839 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * * [misc]simplify: iters left: 4 (474 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (* (* a a) (cube a))) (- 1 (cube (* 3 a)))) (sqr b)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* 4 (* (- (cube (* a a)) (cube (sqr b))) (- (cube (* a a)) (cube (sqr b))))) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (* (* a a) (cube a))) (- 1 (cube (* 3 a)))) (sqr b)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* 4 (* (- (cube (* a a)) (cube (sqr b))) (- (cube (* a a)) (cube (sqr b))))) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (+ (* b b) (sqr a)))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (sqr a) (- a 1)))) (* (* (- 1 a) (- 1 a)) (+ (* (sqr a) (sqr a)) (* (* b b) (+ (* b b) (sqr a)))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))))) (* (+ (* (sqr a) (sqr a)) (* (* b b) (+ (* b b) (sqr a)))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (- (sqr a) (- a 1)))) (* (* (- 1 a) (- 1 a)) (+ (* (sqr a) (sqr a)) (* (* b b) (+ (* b b) (sqr a)))))))) * * * * [misc]progress: [ 1840 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (* (* (- 1 (cube (* 3 a))) (* (+ (* a a) (* (* a a) (cube a))) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (* (* (- 1 (cube (* 3 a))) (* (+ (* a a) (* (* a a) (cube a))) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (+ (* b b) (sqr a))))) (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (sqr a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (+ (* b b) (sqr a))))) (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- (sqr a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 1841 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * * [misc]simplify: iters left: 4 (428 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (- 1 a)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4) (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (* (sqr (+ (* a a) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (- 1 a)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4) (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) (* (+ (* (cube (* (+ 1 a) (* a a))) (* (sqr (+ (* a a) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1))))) (sqr (cube (* (sqr a) (+ a 1))))) (sqr (+ (sqr a) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (- (sqr a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1))))) (sqr (cube (* (sqr a) (+ a 1))))) (sqr (+ (sqr a) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (+ (- (sqr a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 1842 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) (* (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (- 1 a)))) (* 4 (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))))) (* (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (- 1 a)))) (* 4 (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1)))) (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr a) (* b b))))) (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1)))) (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr a) (* b b))))) (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 1843 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (452 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (+ (* a a) (* (* a a) (cube a))) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 (cube (* 3 a))) (* (+ (* a a) (* (* a a) (cube a))) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1))))) (+ (sqr (cube (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1))))) (+ (sqr (cube (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ a 1) (sqr a))))))) * * * * [misc]progress: [ 1844 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 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 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (376 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))) 4) (* (* (sqr (- (* a a) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a)))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))) 4) (* (* (sqr (- (* a a) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (* a a) (- 1 a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (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))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- (sqr a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- (sqr a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 1845 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (425 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) (* (* (* (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a)))))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) (* (* (* (+ (- (* a a) (- a 1)) (* (- (* a a) (- a 1)) (+ (* 3 a) (sqr (* 3 a))))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (sqr a) (- 1 a)))) (* (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (+ (* b b) (sqr a))))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ (sqr a) (- 1 a)))) (* (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (+ (* b b) (sqr a))))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1846 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr 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 (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * * [misc]simplify: iters left: 4 (393 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (- 1 a)) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4) (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (+ (* a a) (sqr b)) (* (+ (* (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (- 1 a)) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4) (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (+ (* a a) (sqr b)) (* (+ (* (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* a a) (sqr b)))))) * [enter]simplify: Simplifying (* (* (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 a) (sqr b)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr a) (* b b))) (* (- 1 a) (- 1 a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr a) (* b b))) (* (- 1 a) (- 1 a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 1847 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * * [misc]simplify: iters left: 4 (455 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (sqr (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (sqr b)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (+ 1 a) (* a a))))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (* (* 4 (- (sqr (cube a)) (sqr (cube b)))) (- (sqr (cube a)) (sqr (cube b)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (- 1 (sqr (* 3 a))) (+ (* (cube a) (* a a)) (* a a))) (sqr b)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (cube (* (+ 1 a) (* a a))))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (* (* 4 (- (sqr (cube a)) (sqr (cube b)))) (- (sqr (cube a)) (sqr (cube b)))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (* (sqr a) (sqr a))))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (* (sqr a) (sqr a))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (+ 1 (* 3 a)) (sqr (* 3 a))) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (* (sqr a) (sqr a))))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (* (sqr a) (sqr a))))) * * * * [misc]progress: [ 1848 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (398 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (cube a)) (sqr (cube b))) (* (- (sqr (cube a)) (sqr (cube b))) 4))) (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (sqr b)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (cube a)) (sqr (cube b))) (* (- (sqr (cube a)) (sqr (cube b))) 4))) (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (sqr b)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))))))) * [enter]simplify: Simplifying (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr b) (+ (sqr a) (sqr b))) (* (sqr a) (sqr a))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (* (sqr a) (sqr a)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))) (* (* (- 1 a) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (* (* (+ (* (sqr b) (+ (sqr a) (sqr b))) (* (sqr a) (sqr a))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (* (sqr a) (sqr a)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))) (* (* (- 1 a) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 1849 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (429 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (+ (* (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (sqr b)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))))) (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (+ (* (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (sqr b)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (* (* (- 1 a) (- 1 a)) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) (+ (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (* (* (- 1 a) (- 1 a)) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) (+ (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1850 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (375 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* 3 a) 1) (- (* a a) (- a 1))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (sqr b))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* 3 a) 1) (- (* a a) (- a 1))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (+ (* (cube a) (* a a)) (* a a)) (sqr b))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (+ 1 (* 3 a)) (sqr (* 3 a)))) (+ (+ 1 (* 3 a)) (sqr (* 3 a))))) (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1851 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (86 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (sqr a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (sqr a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (* (* (+ (* 3 a) 1) (- (sqr a) (- a 1))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))))) * * * * [misc]progress: [ 1852 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (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 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (369 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4)) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (- (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 (70 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1)))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1853 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (407 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* 4 (- (sqr (cube a)) (cube (sqr b)))) (- (sqr (cube a)) (cube (sqr b)))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (- 1 (sqr (* 3 a)))) (sqr b)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* 4 (- (sqr (cube a)) (cube (sqr b)))) (- (sqr (cube a)) (cube (sqr b)))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (+ (* a a) (* (cube a) (* a a))) (- 1 (sqr (* 3 a)))) (sqr b)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (+ (sqr a) (sqr b))) (* (sqr a) (sqr a))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (* (sqr a) (sqr a)))) (* (- 1 a) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- (sqr a) (- a 1)) (* (* 3 a) (- (sqr a) (- a 1)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr b) (+ (sqr a) (sqr b))) (* (sqr a) (sqr a))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (* (sqr a) (sqr a)))) (* (- 1 a) (- 1 a))) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- (sqr a) (- a 1)) (* (* 3 a) (- (sqr a) (- a 1)))))) * * * * [misc]progress: [ 1854 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (sqr b)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (sqr (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (sqr b)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a)))) (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a)))) (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (+ (* 3 a) 1) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 1855 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * * [misc]simplify: iters left: 4 (390 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))))))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- 1 a) (- 1 a))) (* (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))) (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))))))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))))) (* (* (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- 1 a) (- 1 a))) (* (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b)))) (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))))))) * * * * [misc]progress: [ 1856 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (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))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (- (cube (* a a)) (* (cube b) (cube b)))))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (sqr (- (cube (* a a)) (* (cube b) (cube b)))))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))))) (* (- 1 a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))) (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (* 3 a)) (- 1 a))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (* 3 a)) (- 1 a)))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (* 3 a)) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))) (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (* (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (* 3 a)) (- 1 a))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (* 3 a)) (- 1 a)))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (* 3 a)) (- 1 a))))) * * * * [misc]progress: [ 1857 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (344 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (- 1 a) (- 1 a)))) (* (* (* (sqr (+ (* a a) (sqr b))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (- (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (- 1 a) (- 1 a)))) (* (* (* (sqr (+ (* a a) (sqr b))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (- (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr a) (sqr b)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr a) (sqr b)))))) * * * * [misc]progress: [ 1858 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (- (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a))))) (* (* (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (- (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a))))) (* (* (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- 1 a)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- 1 a) (- 1 a))))) (sqr (+ (sqr a) (sqr b)))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- 1 a)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- 1 a) (- 1 a))))) (sqr (+ (sqr a) (sqr b)))) * * * * [misc]progress: [ 1859 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * * [misc]simplify: iters left: 4 (367 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (- 1 a) (- 1 a))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) (* (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a)))) (* (- 1 a) (- 1 a))) (* (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) (* (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (+ (- 1 a) (* (+ (* 3 a) (sqr (* 3 a))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))))))))) * [enter]simplify: Simplifying (* (* (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (78 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- 1 a) (- 1 a)))) (- 1 a))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (* (- 1 a) (- 1 a)))) (- 1 a))) * * * * [misc]progress: [ 1860 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 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))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (- 1 a) (- 1 a))) (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (sqr b))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (- 1 a) (- 1 a))) (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (cube (* 3 a))) (sqr b))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (* 3 a)) (- 1 a))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (+ (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (sqr (* 3 a)) (- 1 a))))) * * * * [misc]progress: [ 1861 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (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 (337 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a)))))) (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (- 1 a) (- 1 a)) (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a)) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))))) (* (- 1 a) (- 1 a)))))) (* (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (* (- 1 a) (- 1 a)) (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (sqr a) (* b b)) (* b b)) (* (sqr a) (sqr a))) (* (+ (* (+ (sqr a) (* b b)) (* b b)) (* (sqr a) (sqr a))) (* (- 1 a) (- 1 a)))) (* (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (* 3 a)) (- 1 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) * [exit]simplify: Simplified to (* (* (+ (* (+ (sqr a) (* b b)) (* b b)) (* (sqr a) (sqr a))) (* (+ (* (+ (sqr a) (* b b)) (* b b)) (* (sqr a) (sqr a))) (* (- 1 a) (- 1 a)))) (* (* (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (* 3 a)) (- 1 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) * * * * [misc]progress: [ 1862 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))))) (* (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) b))) b))))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))))) (* (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) b))) b))))) (sqr (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (* (* (- 1 a) (- 1 a)) (* (* (sqr (+ (sqr a) (sqr b))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (* 3 a)) (- 1 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (- 1 a) (- 1 a)) (* (* (sqr (+ (sqr a) (sqr b))) (+ (+ (- 1 a) (* (* 3 a) (- 1 a))) (* (sqr (* 3 a)) (- 1 a)))) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * * * * [misc]progress: [ 1863 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (409 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (sqr (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (sqr (* 3 a))) (sqr b))))))) (* (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (sqr (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (+ (- 1 a) (* (* 3 a) (- 1 a))))) (* (+ (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (sqr (* 3 a))) (sqr b))))))) (* (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (95 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))))) (* (+ (sqr (sqr a)) (* (sqr b) (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (+ (sqr (sqr a)) (* (sqr b) (+ (sqr a) (sqr b)))))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))))) (* (+ (sqr (sqr a)) (* (sqr b) (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (+ (* (* 3 a) (- 1 a)) (- 1 a)) (+ (sqr (sqr a)) (* (sqr b) (+ (sqr a) (sqr b)))))))) * * * * [misc]progress: [ 1864 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 a) (+ (* 3 a) 1))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 a) (+ (* 3 a) 1))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (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))))) (- (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 (79 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (471 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (+ (* 3 a) 1) (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (sqr (+ (* (sqr a) (+ (sqr a) (sqr b))) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- 1 a))) (* (+ (* 3 a) 1) (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (sqr (+ (* (sqr a) (+ (sqr a) (sqr b))) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 1865 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (400 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- 1 (* a a)) (* (* a a) b)) b) (- 1 (sqr (* 3 a))))))))) (* (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))) 4))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- 1 (* a a)) (* (* a a) b)) b) (- 1 (sqr (* 3 a))))))))) (* (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (86 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a)))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (* (+ (- 1 a) (* (- 1 a) (* 3 a))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (sqr (- 1 a)))) (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ a 1) (sqr a))))))) * * * * [misc]progress: [ 1866 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* 3 a) 1) (- 1 a)) (- 1 a)))) (* (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a)))))))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (* 3 a) 1) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* 3 a) 1) (- 1 a)) (- 1 a)))) (* (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a)))))))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (* 3 a) 1) (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (70 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (- 1 a)) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (* (+ (* 3 a) 1) (- 1 a))))) (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a)))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (- 1 a)) (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- 1 a) (* (+ (* 3 a) 1) (- 1 a))))) (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a)))) * * * * [misc]progress: [ 1867 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (sqr (- (* a a) (sqr b))) 4)) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* 3 a) 1) (- 1 a)) (- 1 a))) (- 1 a))) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (* 3 a) 1) (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))))))) (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (sqr (- (* a a) (sqr b))) 4)) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* 3 a) 1) (- 1 a)) (- 1 a))) (- 1 a))) (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (- 1 a)) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (* 3 a) 1) (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))))))) (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (sqr a) (+ a 1))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1))))) (* (* (* (* (+ (* 3 a) 1) (- 1 a)) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- 1 a))) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (sqr a) (+ a 1))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1))))) (* (* (* (* (+ (* 3 a) 1) (- 1 a)) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- 1 a))) * * * * [misc]progress: [ 1868 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (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))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (sqr (- (* a a) (sqr b))) 4) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (sqr (- (* a a) (sqr b))) 4) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (- 1 a) (+ (* 3 a) 1))) (* (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (- 1 a) (- 1 a))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (+ (* 3 a) 1) (- 1 a)))) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (- 1 a) (- 1 a))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (+ (* 3 a) 1) (- 1 a)))) * * * * [misc]progress: [ 1869 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * * [misc]simplify: iters left: 4 (355 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* a a))) (sqr b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (- 1 a)) (sqr (- (cube (* a a)) (cube (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (+ (* (- 1 a) (* 3 a)) (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* a a))) (sqr b))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (sqr (- 1 a)) (sqr (- (cube (* a a)) (cube (sqr b)))))))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (* (sqr (+ (sqr (sqr a)) (* (sqr b) (+ (sqr a) (sqr b))))) (* (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (+ (* 3 a) 1) (sqr (- 1 a)))) (- 1 a))) * [exit]simplify: Simplified to (* (sqr (+ (sqr (sqr a)) (* (sqr b) (+ (sqr a) (sqr b))))) (* (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (+ (* 3 a) 1) (sqr (- 1 a)))) (- 1 a))) * * * * [misc]progress: [ 1870 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) 4) (* (- 1 a) (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (* 3 a) 1) (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (sqr b)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) 4) (* (- 1 a) (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (+ (* 3 a) 1) (- 1 a)) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b))) (* (+ (* 3 a) 1) (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- 1 (* a a)) (* a a)) (- 1 (sqr (* 3 a)))) (sqr b)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [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 (263 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (+ (* b b) (sqr a)) (* (* (- 1 a) (- 1 a)) (+ (* b b) (sqr a)))) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))))) * [exit]simplify: Simplified to (* (+ (* (- 1 a) (* 3 a)) (- 1 a)) (* (* (+ (* b b) (sqr a)) (* (* (- 1 a) (- 1 a)) (+ (* b b) (sqr a)))) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))))) * * * * [misc]progress: [ 1871 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (445 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a)))) (* (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a))))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a)))) (* (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (cube (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a))))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1))))) (sqr (cube (* (sqr a) (+ a 1))))) (* (sqr (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a)))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1))))) (sqr (cube (* (sqr a) (+ a 1))))) (* (sqr (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a)))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1872 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (383 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a)))) (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a)))) (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1873 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* 4 (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (* (+ (* (* (sqr (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (* (sqr (+ (* a a) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- 1 (cube (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* 4 (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (* (+ (* (* (sqr (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (* (sqr (+ (* a a) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (- 1 (cube (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (* (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ (sqr a) (* b b)))) (+ (sqr a) (* b b))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1))))))) * [exit]simplify: Simplified to (* (* (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (+ (sqr a) (* b b)))) (+ (sqr a) (* b b))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1))))))) * * * * [misc]progress: [ 1874 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (cube (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (sqr b) (- 1 (* 3 a))))))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (cube (* 3 a))) (* (sqr b) (* (* a a) (+ 1 a)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))))) (* (* (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (sqr b) (- 1 (* 3 a))))))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))) (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))) (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 1875 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (sqr (* (+ a b) (- a b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (* a a) (+ 1 a))))))) (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (sqr (* (+ a b) (- a b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (* a a) (+ 1 a))))))) (* (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a)))))) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1))))) (* (cube (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1))))) (* (cube (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1876 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 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 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (346 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (- 1 a)) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a)))))) 4)) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (- 1 a)) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (- (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a)))))) 4)) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (cube (* 3 a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (cube (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * * [misc]simplify: iters left: 2 (470 enodes) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1877 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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 (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (393 enodes) * [exit]simplify: Simplified to (+ (* (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (- (cube (* a a)) (sqr (cube b))) (* (- (cube (* a a)) (sqr (cube b))) 4)))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (- 1 a))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (- (cube (* a a)) (sqr (cube b))) (* (- (cube (* a a)) (sqr (cube b))) 4)))) (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (387 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr a) (+ (sqr a) (sqr b))) (* (sqr b) (sqr b)))) (* (cube (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr a) (+ (sqr a) (sqr b))) (* (sqr b) (sqr b)))) (* (cube (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1878 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (sqr b))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* 4 (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (sqr b))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (sqr b) (- 1 (cube (* 3 a))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (sqr b) (* (* a a) (+ 1 a))) (- 1 (cube (* 3 a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* 4 (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (* (cube (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (* (cube (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (cube (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 1879 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (sqr (cube a)) (cube (sqr b))) (- (sqr (cube a)) (cube (sqr b)))) 4)) (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ (* 3 a) 1) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (sqr (cube a)) (cube (sqr b))) (- (sqr (cube a)) (cube (sqr b)))) 4)) (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ (* 3 a) 1) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (- 1 a) (- 1 a)) (* (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a)))))) (+ (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))) (cube (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1880 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a)))))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (sqr (- 1 a))) (* (+ (* 3 a) 1) (* (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* 3 a) 1) (* (sqr (- 1 a)) (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a)))))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (sqr (- 1 a))) (* (+ (* 3 a) 1) (* (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 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 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* 3 a) 1)) (* (* (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))) (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (- 1 a) (- 1 a))) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* 3 a) 1)) (* (* (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))) (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))))) (* (- 1 a) (- 1 a))) * * * * [misc]progress: [ 1881 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (sqr (- 1 a))) (* (* (sqr (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (* (sqr (- 1 a)) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (+ (* 3 a) 1) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (sqr (- 1 a))) (* (* (sqr (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (* (sqr (- 1 a)) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (+ (* 3 a) 1) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1))))))) * [exit]simplify: Simplified to (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) (+ 1 (sqr (* 3 a)))) (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (sqr (+ (sqr a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1))))))) * * * * [misc]progress: [ 1882 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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))))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (328 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (sqr (- 1 a))) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (* (+ (* 3 a) 1) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (sqr (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (sqr (- 1 a))) (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (* (+ (* 3 a) 1) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (sqr (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (sqr a) (sqr b)))) (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (sqr a) (sqr b)))) (* (* (* (* (- 1 a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* 3 a) 1))) * * * * [misc]progress: [ 1883 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (+ 1 (* 3 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (sqr (- 1 a))) (* (* (+ (* 3 a) 1) (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (+ (* (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* (sqr (- 1 a)) (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (* (* (+ (* 3 a) 1) (* (sqr (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))))) (sqr (- 1 a))) (* (* (+ (* 3 a) 1) (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (+ (* (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* (sqr (- 1 a)) (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a)))))) (* (* (+ (* 3 a) 1) (* (sqr (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (166 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (sqr a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))))) (* (* (+ (* 3 a) 1) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (sqr a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))))) (* (* (+ (* 3 a) 1) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (+ (* 3 a) (sqr (* 3 a))) 1))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1884 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (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))))) (+ 1 (* 3 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a))))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ (* 3 a) 1) (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a)))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (sqr (- (* a a) (sqr b))) 4)))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a))))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ (* 3 a) 1) (sqr (+ (* 3 a) (+ 1 (sqr (* 3 a)))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (+ (* 3 a) (+ 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (sqr (- (* a a) (sqr b))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (* 3 a) 1))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (+ (* 3 a) 1))) (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1885 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (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))))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (354 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (* (cube a) (cube a)) (cube (sqr b))) (* 4 (- (* (cube a) (cube a)) (cube (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* 3 a) 1)))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))))) (sqr (- 1 a))) (* (+ (* 3 a) 1) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- (* (cube a) (cube a)) (cube (sqr b))) (* 4 (- (* (cube a) (cube a)) (cube (sqr b)))))) (* (sqr (- 1 a)) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* 3 a) 1)))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 (sqr (* 3 a))) (* (* (+ 1 a) (* a a)) (sqr b))))) (sqr (- 1 a))) (* (+ (* 3 a) 1) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 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 (56 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))) (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))) (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))))) * * * * [misc]progress: [ 1886 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ 1 (* 3 a))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* 3 a) 1))) (* (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* 3 a) 1))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (- 1 a))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* 3 a) 1))) (* (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (* 3 a) 1))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (- (* (+ (* 3 a) 1) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (* (+ 1 a) (* a a)) (sqr b)) (- 1 (sqr (* 3 a)))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ 1 (* 3 a)))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (+ (* 3 a) 1)) (* (sqr (+ (sqr a) (sqr b))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (+ (* 3 a) 1)) (* (sqr (+ (sqr a) (sqr b))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1887 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (421 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (* (cube a) (cube a)) (cube (sqr b))) (* (- (* (cube a) (cube a)) (cube (sqr b))) 4))) (* (sqr (- 1 a)) (* (- (* a a) (- a 1)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) (* (+ (* (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- (* a a) (- a 1))) (* (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- 1 a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (* (cube a) (cube a)) (cube (sqr b))) (* (- (* (cube a) (cube a)) (cube (sqr b))) 4))) (* (sqr (- 1 a)) (* (- (* a a) (- a 1)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))) (* (+ (* (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- (* a a) (- a 1))) (* (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- 1 a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 (97 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (+ (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (* (* b b) (+ (sqr a) (* b b))))) (+ (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a))))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (sqr a) (- a 1)))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (+ (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (* (* b b) (+ (sqr a) (* b b))))) (+ (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a))))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (- (sqr a) (- a 1)))) * * * * [misc]progress: [ 1888 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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)))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (389 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- 1 a)) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- (* a a) (- a 1)))) (* (* 4 (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (sqr b)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- 1 a)) (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- (* a a) (- a 1)))) (* (* 4 (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b))))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (sqr b)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (sqr (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 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 (81 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (+ (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (* (* b b) (+ (sqr a) (* b b))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (sqr a) (- a 1))) (* (* (- 1 a) (- 1 a)) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (* (* b b) (+ (sqr a) (* b b)))) (+ (* (sqr a) (sqr a)) (* (* b b) (+ (sqr a) (* b b))))) (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (- (sqr a) (- a 1))) (* (* (- 1 a) (- 1 a)) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * * * * [misc]progress: [ 1889 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4)) (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1)))) (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (sqr (- 1 a)))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4)) (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1)))) (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (sqr (- 1 a)))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (88 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr b) (sqr a)) (+ (sqr b) (sqr a))) (* (* (- 1 a) (- 1 a)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- (sqr a) (- a 1))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (sqr a) (+ a 1))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr b) (sqr a)) (+ (sqr b) (sqr a))) (* (* (- 1 a) (- 1 a)) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (- (sqr a) (- a 1))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (sqr a) (+ a 1))))))) * * * * [misc]progress: [ 1890 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))) 4) (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* a a) (- a 1)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* a a) (- a 1)) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (sqr b))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (- (sqr (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))) 4) (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (* a a) (- a 1)) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* a a) (- a 1)) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* (- (* a a) (- a 1)) (sqr (* (- 1 (cube (* 3 a))) (sqr b)))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- 1 (* 3 a)) (* (+ 1 (cube a)) (* (* a a) (sqr b))))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (sqr (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (sqr a) (- a 1)) (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr b) (sqr a)) (+ (sqr b) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (- (sqr a) (- a 1)) (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr b) (sqr a)) (+ (sqr b) (sqr a)))))) * * * * [misc]progress: [ 1891 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * * [misc]simplify: iters left: 4 (417 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (sqr (- 1 a)))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* (* (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- (* a a) (sqr b)) (- (* a a) (sqr b))))) (sqr (- 1 a))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (sqr (- 1 a)))) (+ (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) (* (* (* (* (- (* a a) (- a 1)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (- (* a a) (sqr b)) (- (* a a) (sqr b))))) (sqr (- 1 a))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (* (- (sqr a) (- a 1)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (* (- 1 a) (- 1 a)) (* (- (sqr a) (- a 1)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 1892 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (- (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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* a a) (- a 1)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (- (* a a) (- a 1)) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (* (sqr (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (+ (* a a) (* (cube a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* a a) (- a 1)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (- (* a a) (- a 1)) (* (* (+ a b) (- a b)) (* (+ a b) (- a b)))) (* (* (sqr (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- 1 a) (- 1 a))) (* (- (sqr a) (- a 1)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (- 1 a) (- 1 a))) (* (- (sqr a) (- a 1)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 1893 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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 1) (- (sqr a) (* 1 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (396 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* a a) (- a 1)) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* (cube a) (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (sqr (- 1 a)))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (- (* a a) (- a 1))) (* (* (sqr (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* a a) (- a 1)) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (+ (* (cube a) (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (sqr (- 1 a)))) (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))) (- (* (cube a) (cube a)) (sqr (cube b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (- (* a a) (- a 1))) (* (* (sqr (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (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 (169 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (* (+ (sqr a) (* b b)) (* b b))) (+ (* (sqr a) (sqr a)) (* (+ (sqr a) (* b b)) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (- (sqr a) (- a 1)) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (sqr a)) (* (+ (sqr a) (* b b)) (* b b))) (+ (* (sqr a) (sqr a)) (* (+ (sqr a) (* b b)) (* b b)))) (* (* (- 1 a) (- 1 a)) (* (- (sqr a) (- a 1)) (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))))) * * * * [misc]progress: [ 1894 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (368 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* a a) (- a 1)) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (sqr (- 1 a)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* a a) (sqr b)))) (+ (* a a) (sqr b))) (* (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* a a) (- a 1)) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (- (* (sqr (* (- 1 (cube (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (+ (* (cube a) (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (sqr (- 1 a)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* a a) (sqr b)))) (+ (* a a) (sqr b))) (* (* (* (sqr (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- (* a a) (- a 1))) (* (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ (sqr b) (sqr a)) (+ (sqr b) (sqr a)))) (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (+ 1 (- (sqr a) a)))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ (sqr b) (sqr a)) (+ (sqr b) (sqr a)))) (* (* (+ (+ (* 3 a) 1) (sqr (* 3 a))) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (+ 1 (- (sqr a) a)))) * * * * [misc]progress: [ 1895 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (- 1 a))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (352 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b))))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4)) (* (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- 1 a))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (cube (* a a)) (sqr (cube b))) (- (cube (* a a)) (sqr (cube b))))) (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4)) (* (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (- 1 a))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))) (cube (* (sqr b) (- 1 (* 3 a))))) (sqr (cube (* (sqr a) (+ a 1))))) (* (sqr (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))) (cube (* (sqr b) (- 1 (* 3 a))))) (sqr (cube (* (sqr a) (+ a 1))))) (* (sqr (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) * * * * [misc]progress: [ 1896 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (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)))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 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 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (+ (sqr a) (sqr b)) (sqr b)) (sqr (sqr a))) (cube (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (+ (sqr a) (sqr b)) (sqr b)) (sqr (sqr a))) (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (+ (sqr a) (sqr b)) (sqr b)) (sqr (sqr a))) (cube (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (+ (* (+ (sqr a) (sqr b)) (sqr b)) (sqr (sqr a))) (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))))) * * * * [misc]progress: [ 1897 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (- 1 a))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (* (+ (* (* (sqr (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (sqr (+ (* a a) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* 4 (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (* (+ (* (* (sqr (+ (* a a) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (* (sqr (+ (* a a) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))) (cube (* (sqr a) (+ a 1))))) (* (* (* (cube (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))) (cube (* (sqr a) (+ a 1))))) (* (* (* (cube (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 1898 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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))))) (- 1 a))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (cube (- 1 a))) (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ 1 (+ (* 3 a) (sqr (* 3 a)))) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (cube (- 1 a))) (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 1899 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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))))) (- 1 a))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (sqr (* (+ a b) (- a b))))) (* (- 1 a) (- 1 a))) (* (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))) 4)) (* (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (- 1 a) (sqr (* (+ a b) (- a b))))) (* (- 1 a) (- 1 a))) (* (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))) 4)) (* (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1))))) (* (* (cube (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1))))) (* (* (cube (- 1 a)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) * * * * [misc]progress: [ 1900 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (- (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))))) (- 1 a))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (* (sqr (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (cube (* (sqr a) (+ a 1))) (cube (* (sqr b) (- 1 (* 3 a))))) (- 1 a))) * [exit]simplify: Simplified to (* (sqr (* (- 1 a) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (- (cube (* (sqr a) (+ a 1))) (cube (* (sqr b) (- 1 (* 3 a))))) (- 1 a))) * * * * [misc]progress: [ 1901 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr 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))))) (- 1 a))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a)))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (- 1 a)) (sqr (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a)))) (* (* (cube (- 1 a)) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a)))) (* (* (cube (- 1 a)) (+ (+ (* 3 a) 1) (sqr (* 3 a)))) (+ (+ (* 3 a) 1) (sqr (* 3 a))))) * * * * [misc]progress: [ 1902 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* a a) (sqr b)))) (+ (* a a) (sqr b))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 a) (- 1 a)) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (cube (* 3 a))) (- 1 (cube (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))))) (* (* (- 1 a) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* a a) (sqr b)))) (+ (* a a) (sqr b))) (* (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (sqr (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (- 1 a))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (* (+ (sqr a) (* b b)) (* (* (+ (sqr a) (* b b)) (cube (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * [exit]simplify: Simplified to (* (+ (sqr a) (* b b)) (* (* (+ (sqr a) (* b b)) (cube (- 1 a))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))) * * * * [misc]progress: [ 1903 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * * [misc]simplify: iters left: 4 (493 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) (* (* 4 (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1)))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a))))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))))) (* (* 4 (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (sqr a) (+ a 1)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))))) (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (sqr a) a) 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (sqr a) (+ a 1)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))))) (* (* (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (- (sqr a) a) 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))) (* (* (- 1 a) (- 1 a)) (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))))) * * * * [misc]progress: [ 1904 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (72 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (436 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* a a) (- 1 a)) (+ (+ 1 (sqr (* 3 a))) (* 3 a))))))) * [enter]simplify: Simplifying (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) (* (* (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a)))) (- (cube (* (sqr a) (+ a 1))) (cube (* (sqr b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))))) (* (* (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a)))) (- (cube (* (sqr a) (+ a 1))) (cube (* (sqr b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1905 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 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)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (* (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* a a) (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (* (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (* a a) (- 1 a)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (+ 1 (cube a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ 1 (- (* a a) a))) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (+ (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (- (sqr a) (- a 1)) (+ 1 (+ (* 3 a) (sqr (* 3 a))))))) (+ (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1906 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 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)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1)))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (- (* a a) (- a 1))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1)))) (+ 1 (+ (* 3 a) (sqr (* 3 a)))))) (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1907 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 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 a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (461 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (* (- 1 (cube (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))) (sqr (cube (* (* a a) (+ 1 a)))))) (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (* (- 1 (cube (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (86 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (sqr a) (+ a 1))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1))))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (sqr a) (+ a 1))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1))))) (* (* (- 1 a) (- 1 a)) (* (+ (+ (sqr (* 3 a)) 1) (* 3 a)) (* (+ 1 (* 3 a)) (* (+ 1 (* 3 a)) (- (sqr a) (- a 1))))))) * * * * [misc]progress: [ 1908 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 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 a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (410 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (* (- 1 (cube (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1)))) (* (* (- 1 (cube (* 3 a))) (* (+ 1 (cube a)) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (- (* a a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) 4))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (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 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (- (sqr a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (sqr a) (- a 1)))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (- (sqr a) (- a 1)) (* (+ (* 3 a) (sqr (* 3 a))) (- (sqr a) (- a 1)))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 1909 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * * [misc]simplify: iters left: 4 (438 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (* 4 (* (- (cube (* a a)) (cube (sqr b))) (- (cube (* a a)) (cube (sqr b)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (* a a) (cube a)))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (* 4 (* (- (cube (* a a)) (cube (sqr b))) (- (cube (* a a)) (cube (sqr b)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a)))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (* (- (* a a) (- a 1)) (+ 1 (+ (sqr (* 3 a)) (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (* a a) (cube a)))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- 1 a) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (+ (sqr (* 3 a)) (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- (* a a) a) 1))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (sqr a) a)))) (* (* (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a)))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ 1 (- (sqr a) a)))) (* (* (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a)))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1910 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (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 a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (+ (* a a) (- 1 a)) (* (+ (sqr (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (* a a) (cube a)))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* a a) (- 1 a)) (* (+ (sqr (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (+ (+ (* a a) (- 1 a)) (* (+ (sqr (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (- (* (sqr (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (+ (* a a) (- 1 a)) (* (+ (sqr (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a))))) (* (* (- 1 (cube (* 3 a))) (sqr b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (* a a) (cube a)))))) (* (- 1 a) (- 1 a))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ (* a a) (- 1 a)) (* (+ (sqr (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (+ (+ (* a a) (- 1 a)) (* (+ (sqr (* 3 a)) (* 3 a)) (+ (* a a) (- 1 a))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (* (* (+ (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (* (- 1 a) (- 1 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (sqr a) (- 1 a))))) * [exit]simplify: Simplified to (* (* (+ (* b b) (sqr a)) (* (+ (* b b) (sqr a)) (* (- 1 a) (- 1 a)))) (* (+ (+ 1 (sqr (* 3 a))) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (sqr a) (- 1 a))))) * * * * [misc]progress: [ 1911 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))))) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr b) (- 1 (sqr (* 3 a))))))) (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (* 4 (- (cube (* a a)) (* (cube b) (cube b)))) (- (cube (* a a)) (* (cube b) (cube b)))))) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr b) (- 1 (sqr (* 3 a))))))) (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ a 1) (sqr a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a)))))) (* (* (+ (* (* b b) (+ (sqr a) (* b b))) (sqr (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (sqr (sqr a)))) (* (* (+ 1 (* a 3)) (- (sqr a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))))) * [exit]simplify: Simplified to (* (- (sqr (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ a 1) (sqr a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a)))))) (* (* (+ (* (* b b) (+ (sqr a) (* b b))) (sqr (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (sqr (sqr a)))) (* (* (+ 1 (* a 3)) (- (sqr a) (- a 1))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))))) * * * * [misc]progress: [ 1912 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * * [misc]simplify: iters left: 4 (367 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))) (sqr (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* a a)) (sqr (cube b))) (* 4 (- (cube (* a a)) (sqr (cube b))))) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))) (sqr (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (+ (sqr a) (* b b))) (sqr (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (sqr (sqr a)))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ 1 (* a 3)) (- (sqr a) (- a 1)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (+ (sqr a) (* b b))) (sqr (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (sqr (sqr a)))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ 1 (* a 3)) (- (sqr a) (- a 1)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1913 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (400 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (+ (cube a) 1) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) (* (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (- 1 (sqr (* 3 a))) (* (+ (cube a) 1) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))))) (* (* (* (* (* (sqr (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- (* a a) (- a 1)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr a) (sqr b)) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (* (+ 1 (* a 3)) (- (sqr a) (- a 1))) (+ (sqr a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr a) (+ a 1))))))) * [exit]simplify: Simplified to (* (* (+ (sqr a) (sqr b)) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (* (+ 1 (* a 3)) (- (sqr a) (- a 1))) (+ (sqr a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr b) (- 1 (* a 3))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr a) (+ a 1))))))) * * * * [misc]progress: [ 1914 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (sqr (- 1 a))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (sqr (- 1 a))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* a 3)) (- (sqr a) (- a 1))) (sqr (+ (sqr a) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* a 3)) (sqr b))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* a 3)) (- (sqr a) (- a 1))) (sqr (+ (sqr a) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* a 3)) (sqr b))))) * * * * [misc]progress: [ 1915 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- 1 a)) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (sqr (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr b) (- 1 (sqr (* 3 a))))))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- 1 a)) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (sqr (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))) (* (sqr b) (- 1 (sqr (* 3 a))))))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (172 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (sqr a) (+ a 1)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* a 3)) (- (sqr a) (- a 1))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (sqr a) (+ a 1)))))) (* (* (- 1 a) (- 1 a)) (* (* (+ 1 (* a 3)) (- (sqr a) (- a 1))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))))) * * * * [misc]progress: [ 1916 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (sqr (- (* a a) (sqr b))))) 4) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (sqr (- (* a a) (sqr b))))) 4) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (cube a) (* a a)) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* a 3))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ 1 (* a 3)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* a 3))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ 1 (* a 3)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 1917 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a))))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (- 1 a)) (* (- 1 a) (sqr (- (cube (* a a)) (cube (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a))))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (+ (* a a) (- 1 a)))) (- 1 a)) (* (- 1 a) (sqr (- (cube (* a a)) (cube (sqr b)))))))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))) (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ 1 (* a 3)) (- (sqr a) (- a 1))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))) (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ 1 (* a 3)) (- (sqr a) (- a 1))))) * * * * [misc]progress: [ 1918 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- 1 a)) (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))) (* (sqr b) (- 1 (sqr (* 3 a))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- 1 a)) (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (sqr b) (- 1 (sqr (* 3 a)))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (cube a) (* a a)))) (* (sqr b) (- 1 (sqr (* 3 a))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (+ (* 3 a) 1) (+ (* a a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (+ (sqr 1) (- (sqr a) (* 1 a))) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (* (* (* (- (sqr a) (- a 1)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (sqr (+ (sqr a) (sqr b))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (* (- (sqr a) (- a 1)) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (sqr (+ (sqr a) (sqr b))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1919 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr 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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * * [misc]simplify: iters left: 4 (417 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (+ (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))))) (* (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (cube (* a a)) (sqr (cube b)))) 4)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) (* (+ (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (+ (* 3 a) 1) (* (- 1 a) (+ (* 3 a) 1)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))))) (* (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (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))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (95 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))))) (* (sqr (+ (sqr (sqr a)) (* (sqr b) (+ (sqr a) (sqr b))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1)))))) (* (sqr (+ (sqr (sqr a)) (* (sqr b) (+ (sqr a) (sqr b))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (* (+ (* 3 a) 1) (- 1 a)))))) * * * * [misc]progress: [ 1920 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (* (* (- 1 a) (- 1 a)) (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- 1 a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (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))))) (- (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 (79 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* (sqr a) (+ (sqr a) (sqr b))) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))) (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a))))) (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* (sqr a) (+ (sqr a) (sqr b))) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 1921 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 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)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (405 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- 1 a) (- 1 a))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))) 4))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- 1 a) (- 1 a))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (* (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (86 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ a 1) (sqr a))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (- 1 a) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (cube (* (+ a 1) (sqr a))))) (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (- 1 a) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (* (- 1 a) (- 1 a)) (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a)))))) * * * * [misc]progress: [ 1922 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 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)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (- 1 a)) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a)))))))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))))) * [exit]simplify: Simplified to (+ (* (* (- 1 a) (- 1 a)) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a)))))))) (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (* (- 1 (cube (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 (70 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (377 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (- 1 a)) (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * [exit]simplify: Simplified to (* (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (- 1 a)) (* (* (* (- 1 a) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))))) * * * * [misc]progress: [ 1923 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (sqr (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- 1 a) (- 1 a)))) (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* (sqr (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (+ (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b)))) (* (- 1 a) (- 1 a)))) (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (sqr a) (+ a 1))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (sqr a) (+ a 1))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1))))) (* (+ (* 3 a) (+ 1 (* (* 3 a) (* 3 a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 1924 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (sqr (- (* a a) (sqr b))) 4) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (sqr b))))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (- 1 a) (* (- 1 a) (+ (* (* 3 a) (* 3 a)) (* 3 a))))) (* (* (sqr (- (* a a) (sqr b))) 4) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (- 1 a) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)))) (* (- 1 (cube (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* (* a a) (sqr b))))))) (* (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [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 (278 enodes) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 1925 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * * [misc]simplify: iters left: 4 (363 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (sqr (- (cube (* a a)) (sqr (cube b)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (cube (* 3 a))) (sqr b))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)))))) (* (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a))) (* (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a)) (sqr (- (cube (* a a)) (sqr (cube b)))))))) * [enter]simplify: Simplifying (* (* (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (* (sqr (+ (sqr (sqr a)) (* (+ (sqr a) (sqr b)) (sqr b)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (sqr (+ (sqr (sqr a)) (* (+ (sqr a) (sqr b)) (sqr b)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (* (- 1 a) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 1926 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (341 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))) (* (+ (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))) (* (+ (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (sqr b) (- 1 (* (* 3 a) (* 3 a)))) (* (sqr b) (- 1 (* (* 3 a) (* 3 a))))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (- 1 a))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (cube (* 3 a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (- 1 a) (- 1 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1))) * [exit]simplify: Simplified to (* (* (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (- 1 a) (- 1 a))) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) (* (* (- 1 a) (+ (* 3 a) 1)) (+ (* 3 a) 1))) * * * * [misc]progress: [ 1927 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * * [misc]simplify: iters left: 4 (370 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (- 1 a) (- 1 a))) (* (* 4 (- (sqr (cube a)) (* (cube b) (cube b)))) (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (- 1 a) (- 1 a))) (* (* 4 (- (sqr (cube a)) (* (cube b) (cube b)))) (- (sqr (cube a)) (* (cube b) (cube b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (- (sqr (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (* (- 1 a) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (- 1 a) (- 1 a)))) (+ (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (sqr a) (+ a 1))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (* (- 1 a) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (- 1 a) (- 1 a)))) (+ (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))) (* (cube (* (* b b) (- 1 (* a 3)))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (sqr a) (+ a 1))))))) * * * * [misc]progress: [ 1928 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (315 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (sqr (- (cube (* a a)) (cube (sqr b)))) 4)) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (sqr (- (cube (* a a)) (cube (sqr b)))) 4)) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 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 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (sqr (- 1 a))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* a 3))))) (sqr (+ (* (+ (sqr a) (* b b)) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (sqr (- 1 a))) (+ (- 1 a) (* (- 1 a) (* a 3)))) (* (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* a 3))))) (sqr (+ (* (+ (sqr a) (* b b)) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 1929 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (335 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (- 1 a) (- 1 a))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (- 1 a) (- 1 a))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (sqr a) (+ a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (sqr a) (+ a 1)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (sqr (+ (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (sqr a) (+ a 1)))) (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (sqr a) (+ a 1)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (+ (* (* a 3) (- 1 a)) (- 1 a)) (sqr (+ (sqr a) (* b b)))))) * * * * [misc]progress: [ 1930 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (- 1 a) (- 1 a))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (- 1 a) (- 1 a))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (sqr (- 1 a)) (+ (sqr a) (* b b))))) (+ (sqr a) (* b b))) * [exit]simplify: Simplified to (* (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ (* (- 1 a) (* a 3)) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (sqr (- 1 a)) (+ (sqr a) (* b b))))) (+ (sqr a) (* b b))) * * * * [misc]progress: [ 1931 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (* (- 1 (* a a)) (* (* a a) (sqr b))) (- 1 (sqr (* 3 a)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (sqr (- 1 a))) (+ (* (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr a) (+ a 1)))) (cube (* (sqr b) (- 1 (* a 3))))) (sqr (cube (* (sqr a) (+ a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (sqr (- 1 a))) (+ (* (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (sqr a) (+ a 1)))) (cube (* (sqr b) (- 1 (* a 3))))) (sqr (cube (* (sqr a) (+ a 1)))))) * * * * [misc]progress: [ 1932 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))))) (* (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (sqr (- 1 a))) (* (sqr (- (* a a) (sqr b))) 4)))) * [exit]simplify: Simplified to (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))))) (* (- (sqr (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (sqr (- 1 a))) (* (sqr (- (* a a) (sqr b))) 4)))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* a 3))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (- 1 a) (+ 1 (* a 3))))) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (* b b) (- 1 (* a 3))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (- 1 a) (+ 1 (* a 3))))) * * * * [misc]progress: [ 1933 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (sqr (- 1 a))) (* (+ (* 3 a) 1) (* (- (cube (* a a)) (cube (sqr b))) (- (cube (* a a)) (cube (sqr b)))))) (* 4 (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (* (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (sqr (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (* 3 a) (- 1 a)))) (* (* (- 1 (sqr (* 3 a))) (* (- 1 (* a a)) (* (* a a) (sqr b)))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (sqr (- 1 a))) (* (+ (* 3 a) 1) (* (- (cube (* a a)) (cube (sqr b))) (- (cube (* a a)) (cube (sqr b)))))) (* 4 (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 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 (48 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* a 3))) (+ 1 (* a 3))) (+ (* (- 1 a) (* a 3)) (- 1 a)))) * [exit]simplify: Simplified to (* (sqr (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (* (* (- 1 a) (- 1 a)) (+ 1 (* a 3))) (+ 1 (* a 3))) (+ (* (- 1 a) (* a 3)) (- 1 a)))) * * * * [misc]progress: [ 1934 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (* (- 1 a) (+ 1 (* 3 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (sqr (* 3 a))) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (- 1 a) (* (- 1 a) (* 3 a))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- 1 a) (- 1 a)) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (- 1 a) (* (- 1 a) (* 3 a)))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (- 1 (* a a)) (* a a))) (* (- 1 (sqr (* 3 a))) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (- 1 a) (+ 1 (* 3 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr a) (* b b)) (* (* (- 1 a) (- 1 a)) (+ (sqr a) (* b b)))) (* (* (- 1 a) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) * [exit]simplify: Simplified to (* (* (+ (sqr a) (* b b)) (* (* (- 1 a) (- 1 a)) (+ (sqr a) (* b b)))) (* (* (- 1 a) (+ 1 (* a 3))) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) * * * * [misc]progress: [ 1935 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * * [misc]simplify: iters left: 4 (458 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (* 4 (- (cube (* a a)) (cube (sqr b)))) (- (cube (* a a)) (cube (sqr b)))))) (* (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (sqr b) (- 1 (cube (* 3 a))))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (* 4 (- (cube (* a a)) (cube (sqr b)))) (- (cube (* a a)) (cube (sqr b)))))) (* (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (sqr b) (- 1 (cube (* 3 a))))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (* a a) (+ 1 a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (sqr a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (sqr a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a))))))) * * * * [misc]progress: [ 1936 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * * [misc]simplify: iters left: 4 (404 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- (* (cube a) (cube a)) (sqr (cube b))) (* (- (* (cube a) (cube a)) (sqr (cube b))) 4))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (sqr (- 1 a))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (- (* (cube a) (cube a)) (sqr (cube b))) (* (- (* (cube a) (cube a)) (sqr (cube b))) 4))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (* (* a a) (+ 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (sqr (- 1 a))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 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 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* (+ (sqr a) (* b b)) (* b b)) (* (sqr a) (sqr a))) (+ (* (+ (sqr a) (* b b)) (* b b)) (* (sqr a) (sqr a)))))) * [exit]simplify: Simplified to (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a)))) (* (+ (* (+ (sqr a) (* b b)) (* b b)) (* (sqr a) (sqr a))) (+ (* (+ (sqr a) (* b b)) (* b b)) (* (sqr a) (sqr a)))))) * * * * [misc]progress: [ 1937 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (434 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (cube (* (* a a) (+ 1 a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))))) (sqr (- 1 a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (sqr (cube (* (* a a) (+ 1 a)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (cube (* (sqr b) (- 1 (* 3 a))))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))))) (sqr (- 1 a))) (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (* (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (sqr (+ (sqr a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1))))))) * [exit]simplify: Simplified to (* (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (sqr (+ (sqr a) (sqr b))))) (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr a) (+ a 1))))))) * * * * [misc]progress: [ 1938 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (378 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4)) (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4)) (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (339 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (sqr a) (sqr b)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) * [exit]simplify: Simplified to (* (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (sqr a) (sqr b)))) (* (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) * * * * [misc]progress: [ 1939 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (sqr (- (* a a) (sqr b)))) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a)))))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a))))) (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))))) (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (sqr (- (* a a) (sqr b)))) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (+ (cube (cube (* (* a a) (+ 1 a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) 4))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (170 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ a 1) (sqr a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ a 1) (sqr a)))) (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (sqr a)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ 1 (+ (* (* 3 a) (* 3 a)) (* 3 a))))) * * * * [misc]progress: [ 1940 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * * [misc]simplify: iters left: 4 (364 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (sqr (- (* a a) (sqr b))) 4)) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (sqr b) (- 1 (cube (* 3 a)))) (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))))))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (* (sqr (- 1 a)) (+ 1 (* 3 a))) (+ 1 (* 3 a))) (+ (+ (* 3 a) (sqr (* 3 a))) 1)) (* (sqr (- (* a a) (sqr b))) 4)) (* (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) * [exit]simplify: Simplified to (* (* (* (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a))) (- (cube (* (+ a 1) (sqr a))) (cube (* (* b b) (- 1 (* 3 a)))))) * * * * [misc]progress: [ 1941 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (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 (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (cube (* a a)) (cube (sqr b)))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* 4 (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (sqr b) (- 1 (cube (* 3 a)))))) (sqr (- 1 a))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (cube (* a a)) (cube (sqr b)))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* 4 (+ (cube (* (* a a) (+ 1 a))) (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (sqr b) (- 1 (cube (* 3 a)))))) (sqr (- 1 a))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 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 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))) (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (+ (+ 1 (* (* 3 a) (* 3 a))) (* 3 a))) (* (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))) (+ (* (sqr a) (+ (sqr a) (* b b))) (sqr (* b b))))) * * * * [misc]progress: [ 1942 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a))))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) 4)) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (sqr b) (- 1 (cube (* 3 a))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (sqr (- 1 a)) (* (+ 1 (* 3 a)) (+ 1 (* 3 a))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (* a a) (+ 1 a)))) 4)) (* (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (sqr (- 1 a))) (- (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (* (+ 1 (* 3 a)) (+ 1 (* 3 a))) (* (* a a) (+ 1 a))) (* (sqr b) (- 1 (cube (* 3 a))))))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (+ 1 (* 3 a)) (+ 1 (* 3 a)))) (* (+ (+ (* 3 a) (sqr (* 3 a))) 1) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (+ (sqr (* 3 a)) (* 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (454 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr a) (sqr b))) (* (- 1 a) (- 1 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr a) (sqr b))) (* (- 1 a) (- 1 a))) (* (+ (+ 1 (* 3 a)) (* (* 3 a) (* 3 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) * * * * [misc]progress: [ 1943 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (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) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (sqr (* 3 a)))) (* (* (+ 1 a) (* a a)) (sqr b)))) (* (- 1 a) (- 1 a))) (* (cube (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) (* (* (* (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (sqr (- (sqr (cube a)) (cube (sqr b))))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (sqr (* 3 a)))) (* (* (+ 1 a) (* a a)) (sqr b)))) (* (- 1 a) (- 1 a))) (* (cube (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) (* (* (* (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (sqr (- (sqr (cube a)) (cube (sqr b))))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (cube (+ 1 (* a 3))) (* (- 1 a) (- 1 a)))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ a 1) (sqr a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (cube (+ 1 (* a 3))) (* (- 1 a) (- 1 a)))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ a 1) (sqr a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ a 1) (sqr a))))))) * * * * [misc]progress: [ 1944 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 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)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ 1 a) (* a a))))) (* (- 1 a) (- 1 a))) (* (cube (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ 1 a) (* a a))))) (* (- 1 a) (- 1 a))) (* (cube (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 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 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (* (* (* (cube (+ 1 (* a 3))) (* (- 1 a) (- 1 a))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (+ (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (* (* (* (cube (+ 1 (* a 3))) (* (- 1 a) (- 1 a))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (* b b))))) (* (+ (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (+ (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 1945 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ 1 a) (* a a))))) (* (- 1 a) (- 1 a))) (* (cube (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (+ 1 a) (* a a))))) (* (- 1 a) (- 1 a))) (* (cube (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (sqr a) (+ a 1)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1))))) (* (* (cube (+ 1 (* a 3))) (* (* (- 1 a) (- 1 a)) (+ (* b b) (sqr a)))) (+ (* b b) (sqr a)))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (sqr a) (+ a 1)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1))))) (* (* (cube (+ 1 (* a 3))) (* (* (- 1 a) (- 1 a)) (+ (* b b) (sqr a)))) (+ (* b b) (sqr a)))) * * * * [misc]progress: [ 1946 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) 4) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (+ 1 a) (* a a)) (sqr b))) (- 1 (sqr (* 3 a))))) (* (- 1 a) (- 1 a))) (* (cube (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) 4) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (+ 1 a) (* a a)) (sqr b))) (- 1 (sqr (* 3 a))))) (* (- 1 a) (- 1 a))) (* (cube (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (cube (+ 1 (* a 3))) (* (- 1 a) (- 1 a))))) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (cube (+ 1 (* a 3))) (* (- 1 a) (- 1 a))))) * * * * [misc]progress: [ 1947 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (+ 1 a) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (sqr b) (- 1 (sqr (* 3 a))))))) (* (cube (+ (* 3 a) 1)) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (* (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (+ 1 a) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (sqr b) (- 1 (sqr (* 3 a))))))) (* (cube (+ (* 3 a) 1)) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* b b) (- 1 (* a 3))))) (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a)))) (cube (* (+ a 1) (sqr a))))) (* (cube (+ 1 (* a 3))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* b b) (- 1 (* a 3))))) (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a)))) (cube (* (+ a 1) (sqr a))))) (* (cube (+ 1 (* a 3))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1948 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (+ 1 a) (* a a)) (sqr b))) (- 1 (sqr (* 3 a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (- (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (cube (+ (* 3 a) 1)) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (+ 1 a) (* a a)) (sqr b))) (- 1 (sqr (* 3 a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (- (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (sqr (cube (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (cube (+ 1 (* a 3))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (cube (+ 1 (* a 3))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1949 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (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))) (+ 1 (* 3 a)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (sqr (- (sqr (cube a)) (sqr (cube b)))) 4))) (* (+ (* (* (cube (+ (* 3 a) 1)) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (sqr (- (sqr (cube a)) (sqr (cube b)))) 4))) (* (+ (* (* (cube (+ (* 3 a) 1)) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (sqr b) (- 1 (sqr (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 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 (115 enodes) * * [misc]simplify: iters left: 3 (357 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 (+ 1 (* a 3))) (* (- 1 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)))) (* (cube (+ 1 (* a 3))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1950 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ 1 (* 3 a))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a)))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) 4) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a)))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (+ 1 a) (* a a)) (sqr b))) (- 1 (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (cube (+ (* 3 a) 1)) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) 4) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (+ (* 3 a) 1)) (* (- 1 a) (- 1 a)))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (sqr (* (sqr b) (- 1 (sqr (* 3 a))))) (+ (* 3 a) 1)) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (* (+ 1 a) (* a a)) (sqr b))) (- 1 (sqr (* 3 a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (cube (+ (* 3 a) 1)) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ 1 (* 3 a)))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (cube (+ 1 (* a 3))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (cube (+ 1 (* a 3))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1951 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * * [misc]simplify: iters left: 4 (436 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) 4))) (* (+ (* (* (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* 3 a))) (* (+ (* a a) (* (* a a) (cube a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) 4))) (* (+ (* (* (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* 3 a))) (* (+ (* a a) (* (* a a) (cube a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))) (* (* (* (- (sqr a) (- a 1)) (* (- 1 a) (- 1 a))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))))) (+ (* (cube (* (sqr b) (- 1 (* a 3)))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a))))) (sqr (cube (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))) (* (* (* (- (sqr a) (- a 1)) (* (- 1 a) (- 1 a))) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))))) (+ (* (cube (* (sqr b) (- 1 (* a 3)))) (- (cube (* (sqr b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a))))) (sqr (cube (* (+ a 1) (sqr a)))))) * * * * [misc]progress: [ 1952 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (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)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a))) (* (* (- (sqr (cube a)) (cube (sqr b))) (- (sqr (cube a)) (cube (sqr b)))) 4)) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))))) (* (- 1 a) (- 1 a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (- 1 a) (- 1 a))) (* (* (- (sqr (cube a)) (cube (sqr b))) (- (sqr (cube a)) (cube (sqr b)))) 4)) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))))) (* (- 1 a) (- 1 a)))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (- (sqr a) (- a 1)) (* (* (+ 1 (* a 3)) (- 1 a)) (* (- 1 a) (+ 1 (* a 3)))))) (sqr (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (- (sqr a) (- a 1)) (* (* (+ 1 (* a 3)) (- 1 a)) (* (- 1 a) (+ 1 (* a 3)))))) (sqr (+ (* (sqr b) (+ (sqr a) (sqr b))) (sqr (sqr a))))) * * * * [misc]progress: [ 1953 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (400 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (* a a) (cube a)))) (* (sqr b) (- 1 (* 3 a))))) (* (- 1 a) (- 1 a)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (- (* a a) (- a 1))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* a a) (* (* a a) (cube a)))) (* (sqr b) (- 1 (* 3 a))))) (* (- 1 a) (- 1 a)))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (- (* a a) (- a 1))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a)))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (- (sqr a) (- a 1)) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a)))) (cube (* (* b b) (- 1 (* a 3)))))) (* (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (- (sqr a) (- a 1)) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))))) * * * * [misc]progress: [ 1954 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (- (* a a) (- a 1)) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (+ (* a a) (* (* a a) (cube a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (sqr b) (- 1 (* 3 a))))) (* (- 1 a) (- 1 a))))) (* (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4)) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (- (* a a) (- a 1)) (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b)))) (* (* (+ (* a a) (* (* a a) (cube a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (sqr b) (- 1 (* 3 a))))) (* (- 1 a) (- 1 a))))) (* (* (* (* (* (- (* a a) (- a 1)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- 1 a) (- 1 a))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4)) (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (+ 1 (- (sqr a) a))) (* (- 1 a) (- 1 a)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (+ 1 (- (sqr a) a))) (* (- 1 a) (- 1 a)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))) * * * * [misc]progress: [ 1955 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * * [misc]simplify: iters left: 4 (400 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (sqr b) (- 1 (* 3 a))))))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (sqr (- (* a a) (sqr b))))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (sqr b) (- 1 (* 3 a))))))) (+ (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (* (* (- 1 a) (- 1 a)) (+ (* 3 a) 1)) (+ (* 3 a) 1)) (* (- (* a a) (- a 1)) (sqr (- (* a a) (sqr b))))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a)))) (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a))))) (* (- (sqr a) (- a 1)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a)))) (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a))))) (* (- (sqr a) (- a 1)) (* (* (- 1 a) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))))) * * * * [misc]progress: [ 1956 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * * [misc]simplify: iters left: 4 (340 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* 3 a))) (* (+ (* a a) (* (* a a) (cube a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (sqr (* (+ a b) (- a b))))) 4) (* (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* 3 a))) (* (+ (* a a) (* (* a a) (cube a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (* (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (* (* (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- (* a a) (- a 1)) (sqr (* (+ a b) (- a b))))) 4) (* (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (+ (sqr a) (- 1 a))) (* (- 1 a) (- 1 a))) (- (cube (* (+ a 1) (sqr a))) (cube (* (sqr b) (- 1 (* a 3)))))) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (+ (sqr a) (- 1 a))) (* (- 1 a) (- 1 a))) (- (cube (* (+ a 1) (sqr a))) (cube (* (sqr b) (- 1 (* a 3)))))) * * * * [misc]progress: [ 1957 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 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))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * * [misc]simplify: iters left: 4 (367 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (cube a)) (* (cube b) (cube b)))) (* (- (* a a) (- a 1)) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* 3 a))) (* (+ (* a a) (* (* a a) (cube a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (- 1 a) (- 1 a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* 4 (+ (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (cube a)) (* (cube b) (cube b)))) (* (- (* a a) (- a 1)) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))))) (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (* (+ (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- (* a a) (- a 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (sqr b) (- 1 (* 3 a))) (* (+ (* a a) (* (* a a) (cube a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (- 1 a) (- 1 a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 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 (119 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr a) (+ (sqr a) (sqr b))) (* (sqr b) (sqr b))) (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (* (- 1 a) (- 1 a)) (- (sqr a) (- a 1)))) (+ (* (sqr a) (+ (sqr a) (sqr b))) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (+ (* (sqr a) (+ (sqr a) (sqr b))) (* (sqr b) (sqr b))) (* (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (* (* (- 1 a) (- 1 a)) (- (sqr a) (- a 1)))) (+ (* (sqr a) (+ (sqr a) (sqr b))) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 1958 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (+ (sqr 1) (- (sqr a) (* 1 a)))) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * * [misc]simplify: iters left: 4 (343 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (+ (* (* (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (- 1 a) (- 1 a))) (* 4 (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (+ (* (* (* (- (* a a) (- a 1)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (* (- 1 (sqr (* 3 a))) (sqr b)) (* (- 1 (sqr (* 3 a))) (sqr b))) (- (* a a) (- a 1))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (+ (* (* a a) (cube a)) (* a a))) (* (sqr b) (- 1 (* 3 a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (+ (sqr 1) (- (sqr a) (* 1 a))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (360 enodes) * [exit]simplify: Simplified to (* (* (- (sqr a) (- a 1)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (* (- 1 a) (- 1 a)) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (* (- (sqr a) (- a 1)) (* (+ 1 (* a 3)) (+ 1 (* a 3)))) (* (* (- 1 a) (- 1 a)) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 1959 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (sqr b) (- 1 (* 3 a)))) (* (- 1 (* a a)) (* a a)))) (* (- 1 a) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (sqr b) (- 1 (* 3 a)))) (* (- 1 (* a a)) (* a a)))) (* (- 1 a) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))))) (+ (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (sqr (- (cube (* a a)) (* (cube b) (cube b)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (sqr b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ a 1) (sqr a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a))) (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (- (sqr (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ a 1) (sqr a))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ a 1) (sqr a))))))) * * * * [misc]progress: [ 1960 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (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)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (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 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr (cube a)) (cube (sqr b)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (- 1 a) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (- (sqr (cube a)) (cube (sqr b)))) (* (* (* (- 1 a) (- 1 a)) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (- 1 a) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 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 (28 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (* (cube (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (+ (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b))) (* (cube (- 1 a)) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) (+ (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 1961 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (sqr b)))) (* (- 1 a) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a))))))) (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (sqr b)))) (* (- 1 a) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (* (cube (- 1 a)) (+ 1 (* a 3))) (+ 1 (* a 3)))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (sqr a) (+ a 1))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))))) * [exit]simplify: Simplified to (* (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (* (cube (- 1 a)) (+ 1 (* a 3))) (+ 1 (* a 3)))) (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (sqr a) (+ a 1))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))))) * * * * [misc]progress: [ 1962 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) 4) (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (sqr b) (- 1 (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) 4) (- (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (* (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (- 1 (* a a)) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (sqr b) (- 1 (* 3 a))))) (* (- 1 a) (- 1 a))) (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (* (cube (- 1 a)) (+ 1 (* a 3))) (+ 1 (* a 3))))) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* a 3)) (* b b)))) (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (* (cube (- 1 a)) (+ 1 (* a 3))) (+ 1 (* a 3))))) * * * * [misc]progress: [ 1963 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a))))) 4) (* (* (- 1 a) (* (- (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))) (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (sqr b) (- 1 (* 3 a)))) (* (- 1 (* a a)) (* a a)))) (* (- 1 a) (- 1 a))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (sqr b) (- 1 (* 3 a))))) (cube (cube (* (* a a) (+ 1 a))))) 4) (* (* (- 1 a) (* (- (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (* (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (* a a) (+ 1 a)))) (cube (* (sqr b) (- 1 (* 3 a))))))) (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (sqr b) (- 1 (* 3 a)))) (* (- 1 (* a a)) (* a a)))) (* (- 1 a) (- 1 a))) (* (* (* (+ (* 3 a) 1) (- 1 a)) (+ (* 3 a) 1)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* b b) (- 1 (* a 3))))) (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a)))) (cube (* (+ a 1) (sqr a))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* a 3)))) (cube (* (* b b) (- 1 (* a 3))))) (* (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ a 1) (sqr a)))) (cube (* (+ a 1) (sqr a))))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ 1 (* a 3)) (+ 1 (* a 3))))) * * * * [misc]progress: [ 1964 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (sqr b) (- 1 (* 3 a)))) (* (- 1 (* a a)) (* a a)))) (* (- 1 a) (- 1 a))) (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (sqr b) (- 1 (* 3 a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (cube (* (* a a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (sqr b) (- 1 (* 3 a)))) (* (- 1 (* a a)) (* a a)))) (* (- 1 a) (- 1 a))) (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* (- 1 a) (- 1 a)) (* (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (- (* (cube (* (* a a) (+ 1 a))) (cube (* (* a a) (+ 1 a)))) (sqr (cube (* (sqr b) (- 1 (* 3 a))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (* (cube (- 1 a)) (+ 1 (* a 3))) (+ 1 (* a 3)))) * [exit]simplify: Simplified to (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (* (cube (- 1 a)) (+ 1 (* a 3))) (+ 1 (* a 3)))) * * * * [misc]progress: [ 1965 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (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 (264 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- (sqr (cube a)) (cube (sqr b))) (* 4 (- (sqr (cube a)) (cube (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (sqr b) (- 1 (* 3 a)))) (* (- 1 (* a a)) (* a a)))) (* (- 1 a) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1))) (* (* (- (sqr (cube a)) (cube (sqr b))) (* 4 (- (sqr (cube a)) (cube (sqr b))))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a))))))) (* (* (+ (* (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (* (sqr b) (- 1 (* 3 a)))) (* (- 1 (* a a)) (* a a)))) (* (- 1 a) (- 1 a))) (* (* (* (+ (* 3 a) 1) (+ (* 3 a) 1)) (- 1 a)) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [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 (273 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)))) (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (cube (- 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)))) (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (cube (- 1 a)))) * * * * [misc]progress: [ 1966 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- 1 a)) (- (* (sqr (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) (- 1 a)) (* (sqr (+ 1 (* 3 a))) (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* 4 (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 a) (* (- 1 a) (- 1 a))) (* (+ (* 3 a) 1) (+ (* 3 a) 1)))) (* 4 (+ (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b))) (+ (* (* (+ (* 3 a) 1) (* (+ (* 3 a) 1) (- 1 a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (- (* (* (- 1 a) (* (sqr b) (sqr b))) (* (- 1 (sqr (* 3 a))) (- 1 (sqr (* 3 a))))) (* (* (sqr b) (- 1 (* 3 a))) (* (* (- 1 (* a a)) (* a a)) (* (+ (* 3 a) 1) (+ (* 3 a) 1))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (* (sqr (+ 1 (* 3 a))) (- 1 a))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (cube (- 1 a)))) * [exit]simplify: Simplified to (* (* (+ (* b b) (sqr a)) (+ (* b b) (sqr a))) (* (* (+ 1 (* a 3)) (+ 1 (* a 3))) (cube (- 1 a)))) * * * * [misc]progress: [ 1967 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * * [misc]simplify: iters left: 4 (340 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* 4 (- (* (cube a) (cube a)) (cube (sqr b)))) (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (* (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (* (- 1 a) (- 1 a)) (* (sqr b) (sqr b))) (* (- 1 (* 3 a)) (- 1 (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* 4 (- (* (cube a) (cube a)) (cube (sqr b)))) (- (* (cube a) (cube a)) (cube (sqr b))))) (+ (* (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (* (- 1 a) (- 1 a)) (* (sqr b) (sqr b))) (* (- 1 (* 3 a)) (- 1 (* 3 a))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (- 1 a) (- 1 a)) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (+ (sqr a) (* b b)))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a))))) (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))))) * [exit]simplify: Simplified to (* (* (+ (* (* (- 1 a) (- 1 a)) (* (sqr (* (- 1 (* 3 a)) (* b b))) (sqr (* (- 1 (* 3 a)) (* b b))))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))))) (sqr (+ (* (sqr a) (sqr a)) (* (* b b) (+ (sqr a) (* b b)))))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a))))) (* (cube (* (+ a 1) (sqr a))) (cube (* (+ a 1) (sqr a)))))) * * * * [misc]progress: [ 1968 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))))) (* (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (sqr (* (- 1 (* 3 a)) (sqr b))))) (* (- 1 a) (- 1 a))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))))) (* (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (sqr (* (- 1 (* 3 a)) (sqr b))))) (* (- 1 a) (- 1 a))) (* (* (- (cube (* a a)) (* (cube b) (cube b))) (* 4 (- (cube (* a a)) (* (cube b) (cube b))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (sqr a)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr (+ (* (sqr a) (sqr a)) (* (+ (sqr a) (* b b)) (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (- 1 a) (- 1 a)))) * [exit]simplify: Simplified to (* (* (+ (sqr (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (sqr a)) (+ (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b))))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (sqr (+ (* (sqr a) (sqr a)) (* (+ (sqr a) (* b b)) (* b b)))) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (- 1 a) (- 1 a)))) * * * * [misc]progress: [ 1969 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (+ (* (* (* (- 1 a) (- 1 a)) (sqr (* (- 1 (* 3 a)) (sqr b)))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) (* (sqr (+ (* a a) (sqr b))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (+ (* (* (* (- 1 a) (- 1 a)) (sqr (* (- 1 (* 3 a)) (sqr b)))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (- 1 a) (- 1 a)) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))))) (* (sqr (+ (* a a) (sqr b))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr (+ (sqr a) (* b b))) (sqr (cube (* (+ a 1) (sqr a))))) (* (* (sqr (+ (sqr a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))))) (+ (* (* (* (- 1 a) (- 1 a)) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))))) * [exit]simplify: Simplified to (* (+ (* (sqr (+ (sqr a) (* b b))) (sqr (cube (* (+ a 1) (sqr a))))) (* (* (sqr (+ (sqr a) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))))) (+ (* (* (* (- 1 a) (- 1 a)) (sqr (* (- 1 (* 3 a)) (* b b)))) (sqr (* (- 1 (* 3 a)) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (* (+ a 1) (sqr a)) (* (- 1 (* 3 a)) (* b b)))) (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))))) * * * * [misc]progress: [ 1970 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))))) (* (+ (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- 1 a) (- 1 a)) (* (sqr b) (sqr b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (sqr (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))))) (* (+ (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- 1 a) (- 1 a)) (* (sqr b) (sqr b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (sqr (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr a) (* b b)))) (* (- 1 a) (- 1 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))))))) * [exit]simplify: Simplified to (* (* (* (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (sqr a) (* b b)))) (* (- 1 a) (- 1 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))))))) * * * * [misc]progress: [ 1971 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (* a a) (sqr b))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (- 1 a) (- 1 a))) (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (* (sqr (* (- 1 (* 3 a)) (sqr b))) (* (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (sqr (- (* a a) (sqr b))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))) (* (- 1 a) (- 1 a))) (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (+ (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (* (sqr (* (- 1 (* 3 a)) (sqr b))) (* (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (* (+ (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (* (- 1 a) (- 1 a))) (* (* (+ a 1) (sqr a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (* (- 1 a) (- 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (+ (sqr (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * [exit]simplify: Simplified to (* (+ (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (* (- 1 a) (- 1 a))) (* (* (+ a 1) (sqr a)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))))) (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (* (- 1 a) (- 1 a))) (sqr (* (- 1 (* 3 a)) (* b b))))) (+ (sqr (cube (* (+ a 1) (sqr a)))) (* (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (sqr a)))) (cube (* (- 1 (* 3 a)) (* b b)))))) * * * * [misc]progress: [ 1972 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (* (* (* (- 1 a) (- 1 a)) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (- 1 a) (- 1 a)))) (* (* 4 (* (- (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 a) (- 1 a))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (* (* (* (- 1 a) (- 1 a)) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (- 1 a) (- 1 a)))) (* (* 4 (* (- (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (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))))))) * [exit]simplify: Simplified to (* (* (* (- 1 a) (- 1 a)) (- (cube (* (+ a 1) (sqr a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (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))))))) * * * * [misc]progress: [ 1973 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (* a a)) (cube (sqr b))) (* (- (cube (* a a)) (cube (sqr b))) 4)) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- 1 a) (- 1 a))) (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))) (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (cube (* a a)) (cube (sqr b))) (* (- (cube (* a a)) (cube (sqr b))) 4)) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- 1 a) (- 1 a))) (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))))) (* (sqr (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b))))) (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 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 (149 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (* (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (* (- 1 a) (- 1 a))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a))))) (sqr (+ (* (sqr a) (sqr a)) (* (+ (sqr a) (* b b)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (sqr (* (- 1 (* 3 a)) (* b b))) (* (- 1 a) (- 1 a))) (+ (* (* (- 1 (* 3 a)) (* b b)) (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a)))) (sqr (* (+ a 1) (sqr a))))) (sqr (+ (* (sqr a) (sqr a)) (* (+ (sqr a) (* b b)) (* b b))))) * * * * [misc]progress: [ 1974 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- 1 a)) (- (pow (sqr (* (sqr b) (- 1 (* 3 a)))) 3) (pow (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) 3))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (sqr b))) (+ (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (+ (* (* (* (* (- 1 a) (- 1 a)) (* (sqr b) (sqr b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (* (- 1 a) (- 1 a)) (* (sqr b) (sqr b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* a a) (sqr b))) (+ (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- 1 a) (- 1 a)) (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (+ (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))))) (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (+ (* (* (* (* (- 1 a) (- 1 a)) (* (sqr b) (sqr b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (* (- 1 a) (- 1 a)) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (* (- 1 a) (- 1 a)) (* (sqr b) (sqr b))) (* (- 1 (* 3 a)) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (+ (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (+ (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (* (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (sqr a) (* b b))) (* (- 1 a) (- 1 a))) (* (sqr (* (- 1 (* 3 a)) (* 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 (+ (sqr a) (* b b))) (* (- 1 a) (- 1 a))) (* (sqr (* (- 1 (* 3 a)) (* b b))) (+ (* (+ (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (sqr a))) (* (- 1 (* 3 a)) (* b b))) (sqr (* (+ a 1) (sqr a)))))) * * * * [misc]progress: [ 1975 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (sqr b))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (- (* (cube a) (cube a)) (* (cube b) (cube b))) (- (* (cube a) (cube a)) (* (cube b) (cube b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (sqr a) (+ a 1))))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (* b b) (+ (sqr a) (* b b))) (* (sqr a) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (sqr a) (+ a 1))))))) * * * * [misc]progress: [ 1976 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (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)))) (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (- (* (cube a) (cube a)) (cube (sqr b)))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) (* (* (* (* (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (+ (* (* (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (* (* (sqr (+ (* (+ (sqr a) (* b b)) (* b b)) (* (sqr a) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (sqr (+ (* (+ (sqr a) (* b b)) (* b b)) (* (sqr a) (sqr a)))) (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))) (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 1977 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (* (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (* (- 1 (* 3 a)) (sqr b))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (- 1 a))) (- (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [exit]simplify: Simplified to (+ (* (+ (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (+ (* (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (* (- 1 (* 3 a)) (sqr b))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (- 1 a))) (- (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (sqr a) (+ a 1))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (sqr a) (+ a 1))))) (* (cube (* (sqr a) (+ a 1))) (cube (* (sqr a) (+ a 1)))))) * * * * [misc]progress: [ 1978 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (- 1 a))) (* (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (* (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (- 1 a))) (* (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (- (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* 4 (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (* (- 1 a) (- 1 a)) (* b b)) (- 1 (* 3 a))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * [exit]simplify: Simplified to (* (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (* (* (* (* (- 1 a) (- 1 a)) (* b b)) (- 1 (* 3 a))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b))))) * * * * [misc]progress: [ 1979 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (- 1 a))) (- (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* 4 (* (- (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (+ (* (* (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (- 1 a))) (- (sqr (* (- 1 (* 3 a)) (sqr b))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* 4 (* (- (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (387 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (sqr a) (+ a 1))))))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (- (* (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (sqr a) (+ a 1))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (sqr a) (+ a 1))))))) * * * * [misc]progress: [ 1980 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (* (- 1 (* 3 a)) (sqr b))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b))) (* (- 1 (* 3 a)) (sqr b))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) b) (* (- 1 (* 3 a)) b)) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (* (* (* (* (- 1 a) (- 1 a)) b) (* (- 1 (* 3 a)) b)) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (sqr a) (+ a 1))) (cube (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 1981 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (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 b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) 4))) (* (* (+ (* (* (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (- 1 a))) (* (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) * [exit]simplify: Simplified to (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- (sqr (cube a)) (* (cube b) (cube b))) (- (sqr (cube a)) (* (cube b) (cube b)))) 4))) (* (* (+ (* (* (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (- 1 a))) (* (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) * [enter]simplify: Simplifying (* (* (sqr (- 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 (24 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (* (sqr (+ (* (sqr a) (+ (sqr a) (* b b))) (* (* b b) (* b b)))) (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 1982 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (* (sqr (* (sqr a) (- (sqr 1) (sqr a)))) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- 1 a)) (- (sqr (sqr (* (sqr b) (- 1 (* 3 a))))) (sqr (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))))) (sqr (+ (sqr a) (sqr b)))) (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (- 1 a))) (* (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (* (- 1 (* 3 a)) (sqr b)) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a a)) (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (sqr (* (- 1 (* 3 a)) (sqr b))) (sqr (- 1 a))) (* (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (+ (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) 4) (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (sqr (- 1 a)) (* (- 1 (* 3 a)) (sqr b))) (+ (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) * [enter]simplify: Simplifying (* (* (sqr (- 1 a)) (+ (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))) * [exit]simplify: Simplified to (* (* (* (* (- 1 a) (- 1 a)) (* (- 1 (* 3 a)) (* b b))) (+ (* (sqr a) (+ a 1)) (* (- 1 (* 3 a)) (* b b)))) (* (+ (sqr a) (* b b)) (+ (sqr a) (* b b)))) * * * * [misc]progress: [ 1983 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (sqr b)))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (+ (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (sqr (- (cube (* a a)) (* (cube b) (cube b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (sqr b)))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (+ (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [enter]simplify: Simplifying (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (87 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (* (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (- (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (pow (* (+ a 1) (* a a)) (+ 3 1))))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))))) * [exit]simplify: Simplified to (* (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (* (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (- (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (pow (* (+ a 1) (* a a)) (+ 3 1))))) (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a)))))) * * * * [misc]progress: [ 1984 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (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 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b))))) (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))))) (+ (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (* (* (* (- (cube (* a a)) (* (cube b) (cube b))) (- (cube (* a a)) (* (cube b) (cube b)))) 4) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (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 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (* (- (* (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (- (* (* (* (* b b) (- 1 (* 3 a))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (pow (* (+ a 1) (* a a)) (+ 3 1)))) (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * [exit]simplify: Simplified to (* (- (* (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (- (* (* (* (* b b) (- 1 (* 3 a))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (pow (* (+ a 1) (* a a)) (+ 3 1)))) (* (* (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b))) (+ (* (* a a) (+ (* b b) (* a a))) (sqr (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) * * * * [misc]progress: [ 1985 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 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)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (sqr b)))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (* (+ (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (- (* (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (* 4 (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (sqr b)))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (* (+ (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (- (* (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* a a) (sqr b)))))) * [enter]simplify: Simplifying (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (- (* (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (- (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (pow (* (+ a 1) (* a a)) (+ 3 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))))) (* (- (* (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (- (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (pow (* (+ a 1) (* a a)) (+ 3 1)))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * * * * [misc]progress: [ 1986 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (* (sqr (+ (sqr a) (sqr b))) (- (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 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)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (- 1 (* a 3)) (sqr b))))) (* (* 4 (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (pow (* (+ 1 a) (* a a)) (+ 3 1)))))) * [exit]simplify: Simplified to (+ (* (+ (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) (* (* (- (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (- 1 (* a 3)) (sqr b))))) (* (* 4 (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (pow (* (+ 1 a) (* a a)) (+ 3 1)))))) * [enter]simplify: Simplifying (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- (* (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (- (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (pow (* (+ a 1) (* a a)) (+ 3 1))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- (* (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (- (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (pow (* (+ a 1) (* a a)) (+ 3 1))))) * * * * [misc]progress: [ 1987 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 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) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (sqr b)))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (+ (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* a 3)) (sqr b)))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* a 3)) (sqr b))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (+ (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a))))) (- (* (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (pow (* (+ a 1) (* a a)) (+ 3 1))))) * [exit]simplify: Simplified to (* (- (* (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ a 1) (* a a)))) (cube (* (+ a 1) (* a a))))) (- (* (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (pow (* (+ a 1) (* a a)) (+ 3 1))))) * * * * [misc]progress: [ 1988 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 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 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) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))))) (* (* (* (* 4 (* (- a b) (+ a b))) (* (- a b) (+ a b))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))))) (- (* (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (- (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (+ (cube (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (sqr (cube (* (+ 1 a) (* a a))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))))) (* (* (* (* 4 (* (- a b) (+ a b))) (* (- a b) (+ a b))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))))) (- (* (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (- (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (- (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (pow (* (+ a 1) (* a a)) (+ 1 3)))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (- (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (pow (* (+ a 1) (* a a)) (+ 1 3)))) * * * * [misc]progress: [ 1989 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (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 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 (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (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 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* 4 (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (cube (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (sqr (cube (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* 4 (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (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 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (+ (* b b) (* a a)) (* b b))) (+ (sqr (* a a)) (* (+ (* b b) (* a a)) (* b b)))) (- (* (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (+ (* b b) (* a a)) (* b b))) (+ (sqr (* a a)) (* (+ (* b b) (* a a)) (* b b)))) (- (* (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))))))) * * * * [misc]progress: [ 1990 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (+ (pow (sqr (* (sqr a) (+ 1 a))) 3) (pow (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) 3))) (sqr (+ (sqr a) (sqr b)))) (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (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 (100 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (cube (* (- 1 (* a 3)) (sqr b)))) (cube (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (* (* 4 (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b))))) (- (* (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))))))) (* (+ (* (sqr (cube (* (+ 1 a) (* a a)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (cube (* (- 1 (* a 3)) (sqr b)))) (cube (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))) (sqr (+ (* a a) (sqr b))))) * [enter]simplify: Simplifying (* (+ (sqr (sqr (* (sqr a) (+ 1 a)))) (- (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * [exit]simplify: Simplified to (* (- (* (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * [exit]simplify: Simplified to (* (- (* (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (* (* b b) (- 1 (* 3 a))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a))))) (- (* (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) (- (* (* b b) (- 1 (* 3 a))) (* (+ a 1) (* a a)))) (* (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) * * * * [misc]progress: [ 1991 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))) (* (- (sqr (cube a)) (cube (sqr b))) (- (sqr (cube a)) (cube (sqr b))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))) (* (- (sqr (cube a)) (cube (sqr b))) (- (sqr (cube a)) (cube (sqr b))))) (* 4 (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (+ (* (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a))))) (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ a 1) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* a 3)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a))))) (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ a 1) (* a a))))) (* (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))) (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 1992 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (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))))) (- (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 a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (* 4 (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (* (* (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))))) (* (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (* 4 (sqr (- (* (cube a) (cube a)) (* (cube b) (cube b)))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr 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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (+ (* a a) (* b b)) (* b b))) (+ (sqr (* a a)) (* (+ (* a a) (* b b)) (* b b))))) (- (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (* (+ (sqr (* a a)) (* (+ (* a a) (* b b)) (* b b))) (+ (sqr (* a a)) (* (+ (* a a) (* b b)) (* b b))))) (- (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 1993 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* a a) (sqr b))))) (* (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (* (- (* (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) (sqr (+ (* a a) (sqr b))))) (* (* (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) 4) (+ (cube (cube (* (- 1 (* 3 a)) (sqr b)))) (cube (cube (* (+ 1 a) (* a a)))))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr 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) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (- (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ a 1) (* a a)))) (* (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ a 1) (* a a)))) (cube (* (- 1 (* a 3)) (* b b))))) (* (- (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* a a) (* b b))))) * * * * [misc]progress: [ 1994 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (* (sqr (+ (sqr a) (sqr b))) (- (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 a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) 4))) (* (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (sqr (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a 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 a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * [exit]simplify: Simplified to (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ a 1) (* a a))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * [exit]simplify: Simplified to (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (* (- 1 (* a 3)) (* b b)) (- (* (- 1 (* a 3)) (* b b)) (* (+ a 1) (* a a))))) (* (sqr (+ (* a a) (* b b))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))))) * * * * [misc]progress: [ 1995 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 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 a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* 4 (sqr (* (- a b) (+ a b))))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (sqr b))))) (* 4 (sqr (* (- a b) (+ a b))))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (- (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (* (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (- (sqr (cube (* (- 1 (* 3 a)) (sqr b)))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a))))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr 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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (+ (* (cube (* (- 1 (* a 3)) (* b b))) (- (cube (* (- 1 (* a 3)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 1996 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (- (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 a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (+ (* (- (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) 4))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (sqr (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (- (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) 4))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (- (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (sqr (* (- 1 (* 3 a)) (sqr b))))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* 3 a)) (sqr b))))))) * [enter]simplify: Simplifying (* (- (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (* (- (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) * [exit]simplify: Simplified to (* (- (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* a 3)) (* b b))))) * * * * [misc]progress: [ 1997 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (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)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b))))) (sqr (+ (* (sqr b) (+ (* a a) (sqr b))) (sqr (* a a))))) (* (- (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b)))) (* (* 4 (- (cube (* a a)) (sqr (cube b)))) (- (cube (* a a)) (sqr (cube 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 (262 enodes) * [exit]simplify: Simplified to (* (- (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (* (- (* (* (+ a 1) (* a a)) (+ (* (+ a 1) (* a a)) (* (- 1 (* a 3)) (* b b)))) (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b)))) (* (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 1998 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (- (sqr (sqr (* (sqr a) (+ 1 a)))) (sqr (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))))) (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)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (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 (87 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (* 4 (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (sqr (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (sqr (+ (* a a) (sqr b))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (* 4 (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (- (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (sqr (* (- 1 (* 3 a)) (sqr b))))) (* (* (* (- (* (* (+ 1 a) (* a a)) (+ (* (+ 1 a) (* a a)) (* (- 1 (* 3 a)) (sqr b)))) (sqr (* (- 1 (* 3 a)) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* 3 a)) (sqr b)) (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a)))))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))))) (sqr (+ (* a a) (sqr 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) (sqr b)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* a a) (* b b)))) * [exit]simplify: Simplified to (* (- (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a))) (* (- (* (- 1 (* a 3)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* a 3)) (* b b)))) (sqr (+ (* a a) (* b b)))) * * * * [misc]progress: [ 1999 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (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 (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))))) (* (+ (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (sqr (- (* (cube a) (cube a)) (sqr (cube b))))) (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) 4)) (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (* (cube (* (+ a 1) (* a a))) (cube (* (+ a 1) (* a a)))))) (* (+ (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (- (sqr (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b)))))) (- (sqr (cube (* (* b b) (- 1 (* a 3))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* a 3)))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 2000 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (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))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (- (cube (* a a)) (sqr (cube b)))) (* (* (- (cube (* a a)) (sqr (cube b))) 4) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (- (cube (* a a)) (sqr (cube b)))) (* (* (- (cube (* a a)) (sqr (cube b))) 4) (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) (* (* (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (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 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (431 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (* b b)))) (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 2001 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (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) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))))) (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (sqr (+ (* b b) (* a a)))))) * [exit]simplify: Simplified to (+ (* (sqr (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))))) (* (* 4 (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (cube (* (- 1 (* 3 a)) (* b b)))) (cube (cube (* (+ a 1) (* a a))))))) (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (- (cube (sqr (* a a))) (cube (* (* b b) (* b b)))))) (* (+ (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a))))) (sqr (cube (* (+ a 1) (* a a))))) (sqr (+ (* b b) (* a a)))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (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 (72 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) * [exit]simplify: Simplified to (* (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ (sqr (cube (* (* a a) (+ 1 a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (* a a) (+ 1 a))))))) * * * * [misc]progress: [ 2002 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (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) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) 4) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [exit]simplify: Simplified to (+ (* (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (sqr (+ (* b b) (* a a)))) (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b))))))) (* (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) 4) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))) (* (- (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (- (cube (* (* a a) (+ 1 a))) (cube (* (* b b) (- 1 (* 3 a))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * * * [misc]progress: [ 2003 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (sqr (- (* a a) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) * [exit]simplify: Simplified to (+ (* (* (+ (cube (cube (* (+ a 1) (* a a)))) (cube (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (sqr (- (* a a) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a)))))) (* (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (cube (* b b)) (cube (* b b)))))) (- (sqr (cube (* (- 1 (* 3 a)) (* b b)))) (* (cube (* (+ a 1) (* a a))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * [exit]simplify: Simplified to (* (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (- 1 (* 3 a)) (* b b))) (- (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ 1 a) (* a a)))))) (* (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))) (+ (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* b b) (* b b)) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 2004 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (sqr b)) 3))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (* 4 (* (- (* a a) (* b b)) (- (* a a) (* b b))))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a))))))) (* (- (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (* (- (* (* (- 1 (* 3 a)) (* b b)) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))))) (sqr (- (cube (sqr (* a a))) (* (* (cube b) (cube b)) (* (cube b) (cube b)))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (* b b)))) (+ (* (* (* b b) (* b b)) (* (* b b) (* b b))) (* (sqr (* a a)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 2005 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (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 (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (- (cube (sqr (* a a))) (sqr (sqr (cube b)))))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (* (- (* (cube a) (cube a)) (sqr (cube b))) 4)) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (- 1 (* 3 a)) (* b b))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (- (cube (sqr (* a a))) (sqr (sqr (cube b)))))) (sqr (+ (* (* b b) (+ (* b b) (* a a))) (sqr (* a a))))) (* (* (* (- (* (cube a) (cube a)) (sqr (cube b))) (* (- (* (cube a) (cube a)) (sqr (cube b))) 4)) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))) (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (310 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) * [exit]simplify: Simplified to (* (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b)))) (* (+ (* (sqr (* a a)) (sqr (* a a))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (* (* b b) (* b b)))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 2006 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (pow (sqr (sqr a)) 3) (pow (sqr (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) (sqr b)))) (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (cube (* b b)))))) (sqr (+ (* b b) (* a a)))) (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 1 (* 3 a)) (* b b)) (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a)))) (* (* (+ a 1) (* a a)) (* (+ a 1) (* a a)))) (sqr (- (* (* (cube a) (cube a)) (* (cube a) (cube a))) (sqr (cube (* b b)))))) (sqr (+ (* b b) (* a a)))) (* (sqr (+ (* (* (* b b) (* b b)) (+ (* (* b b) (* b b)) (sqr (* a a)))) (* (sqr (* a a)) (sqr (* a a))))) (* (* 4 (sqr (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (cube (* (+ a 1) (* a a))) (cube (* (- 1 (* 3 a)) (* b b))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr (sqr a))) (+ (sqr (sqr (sqr b))) (* (sqr (sqr a)) (sqr (sqr b)))))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (* b b)) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* a a) (* b b)) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * [exit]simplify: Simplified to (* (* (+ (* a a) (* b b)) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (* (+ (* a a) (* b b)) (+ (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (+ (sqr (* a a)) (* (* b b) (* b b))))))) * * * * [misc]progress: [ 2007 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (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 (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [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 (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) 4))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))) (+ (* (cube (* (* b b) (- 1 (* 3 a)))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))))) (* (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (sqr (- (* (sqr (* a a)) (sqr (* a a))) (* (* (* b b) (* b b)) (* (* b b) (* b b))))))) (* (* (* (- (sqr (cube a)) (sqr (cube b))) (- (sqr (cube a)) (sqr (cube b)))) (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (* (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))) 4))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b))) (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b))) (+ (* (+ (* a a) (sqr b)) (* a a)) (* (sqr b) (sqr b))))) (+ (sqr (cube (* (+ 1 a) (* a a)))) (* (cube (* (sqr b) (- 1 (* 3 a)))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 2008 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (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 (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (sqr (+ (sqr (* a a)) (* (* b b) (+ (* a a) (* b b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (+ (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))))) (* (* (* (sqr (+ (sqr (* a a)) (* (* b b) (* b b)))) (- (cube (* a a)) (* (cube b) (cube b)))) (* (- (cube (* a a)) (* (cube b) (cube b))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (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 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (327 enodes) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (- (cube (* (+ 1 a) (* a a))) (cube (* (sqr b) (- 1 (* 3 a)))))) (* (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))) (+ (sqr (* a a)) (* (sqr b) (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 2009 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (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))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (* a a) (* b b))) (sqr (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (* (sqr (+ (* a a) (* b b))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))) (* (sqr (+ (* a a) (* b b))) (sqr (cube (* (+ 1 a) (* a a))))))) (* (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) 4) (+ (cube (cube (* (+ 1 a) (* a a)))) (cube (cube (* (* b b) (- 1 (* 3 a)))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr a) (sqr b))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (* a a) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (* (- (* (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (sqr b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (sqr b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a)))))) (* (sqr (+ (* a a) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 2010 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (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))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* a a) (* b b)))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b))))) (+ (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (+ (* a a) (* b b)))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (+ (sqr a) (sqr b))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (sqr (+ (* a a) (sqr b))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* 3 a)) (sqr b))))) * * * * [misc]progress: [ 2011 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (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 a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (pow (* (sqr a) (+ 1 a)) 3) 3) (pow (pow (* (sqr b) (- 1 (* 3 a))) 3) 3)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* 4 (* (* (- a b) (+ b a)) (* (- a b) (+ b a))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (* (* (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (- (sqr (cube (* (* b b) (- 1 (* 3 a))))) (* (cube (* (+ 1 a) (* a a))) (- (cube (* (* b b) (- 1 (* 3 a)))) (cube (* (+ 1 a) (* a a))))))) (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* 4 (* (* (- a b) (+ b a)) (* (- a b) (+ b a))))) (+ (cube (cube (* (* b b) (- 1 (* 3 a))))) (cube (cube (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (+ (sqr (pow (* (sqr a) (+ 1 a)) 3)) (- (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3)) (* (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (cube (* (- 1 (* a 3)) (sqr b)))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (cube (* (- 1 (* a 3)) (sqr b)))) (- (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (cube (* (+ 1 a) (* a a))) (cube (* (+ 1 a) (* a a)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))))) * * * * [misc]progress: [ 2012 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (sqr (sqr b))))) (+ (sqr (* (sqr a) (+ 1 a))) (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- (sqr a) (sqr b))) (* 4 (- (sqr (pow (* (sqr a) (+ 1 a)) 3)) (sqr (pow (* (sqr b) (- 1 (* 3 a))) 3))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- a b) (+ b a)) (* (- a b) (+ b a))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (* (* (* (- a b) (+ b a)) (* (- a b) (+ b a))) 4)) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))))) (* (* (- (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a))))) (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))))) (+ (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (- (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 2013 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (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 (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- (pow (sqr a) 3) (pow (sqr b) 3))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (+ (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) * [exit]simplify: Simplified to (+ (* (* (* (+ (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b)))) (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (- (* (cube a) (cube a)) (sqr (cube b))) (* 4 (- (* (cube a) (cube a)) (sqr (cube b)))))) (* (* (+ (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (* b b) (- 1 (* 3 a)))) (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a)))) (sqr (* (+ (sqr (* a a)) (* (* b b) (* b b))) (- (sqr (* a a)) (* (* b b) (* b b)))))) (sqr (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (sqr (+ (sqr (sqr a)) (+ (sqr (sqr b)) (* (sqr a) (sqr b)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))) (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))))) * [exit]simplify: Simplified to (* (* (+ (sqr (* a a)) (* (sqr b) (sqr b))) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))) (+ (sqr (* a a)) (* (+ (* a a) (sqr b)) (sqr b))))) * * * * [misc]progress: [ 2014 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (sqr (- (sqr (sqr (sqr a))) (sqr (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)))) (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (* 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 (100 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (* a a) (* b b))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (* (sqr (* (- (sqr (* a a)) (* (* b b) (* b b))) (+ (sqr (* a a)) (* (* b b) (* b b))))) (+ (* 4 (+ (cube (* (+ 1 a) (* a a))) (cube (* (* b b) (- 1 (* 3 a)))))) (* (sqr (+ (* a a) (* b b))) (- (* (* (* b b) (- 1 (* 3 a))) (* (* b b) (- 1 (* 3 a)))) (* (- (* (* b b) (- 1 (* 3 a))) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * [enter]simplify: Simplifying (* (sqr (+ (sqr (sqr a)) (sqr (sqr b)))) (sqr (+ (sqr a) (sqr b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (sqr b)) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) * [exit]simplify: Simplified to (* (* (+ (* a a) (sqr b)) (+ (sqr (* a a)) (* (sqr b) (sqr b)))) (* (+ (* a a) (sqr b)) (+ (sqr (* a a)) (* (sqr b) (sqr b))))) * * * * [misc]progress: [ 2015 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* (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))))))) 3) (pow (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))) 3)) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (+ (cube (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))))) (cube (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [exit]simplify: Simplified to (+ (cube (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))))) (cube (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (* (- 1 (* a 3)) (sqr b)) (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a)))))))) * [enter]simplify: Simplifying (+ (sqr (* (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 (- (sqr a) (sqr b))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) (* (* (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 (34 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (+ (- (* (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))))) (* (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b))))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * [exit]simplify: Simplified to (+ (- (* (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b))))) (* (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))))) (* (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a)))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)) (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b))))))) (* (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 2016 / 2108 ] simplifiying candidate # * * * * [misc]progress: [ 2017 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* (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 (- (sqr a) (sqr b))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (* (- (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4))) (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)))) * [exit]simplify: Simplified to (* (- (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4))) (+ (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (+ (cube (* (+ 1 a) (* a a))) (cube (* (- 1 (* a 3)) (sqr b)))) (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) 4)))) * [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 (83 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (- (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) * [exit]simplify: Simplified to (- (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (- (* (* (- 1 (* a 3)) (sqr b)) (* (- 1 (* a 3)) (sqr b))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (+ 1 a) (* a a))))) (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a)))))) * * * * [misc]progress: [ 2018 / 2108 ] 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)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (+ (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 (* a 3)) (sqr b)))) (* (sqr (- (* a a) (sqr b))) (+ (* 4 (cube (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (sqr (+ (* a a) (sqr b))))))) * [exit]simplify: Simplified to (+ (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 (* a 3)) (sqr b)))) (* (sqr (- (* a a) (sqr b))) (+ (* 4 (cube (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (sqr (+ (* a a) (sqr b))))))) * * * * [misc]progress: [ 2019 / 2108 ] 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))) (* (pow (* (sqr a) (+ 1 a)) 3) 4))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (+ (* (sqr (- (* a a) (sqr b))) (+ (* (cube (* (+ 1 a) (* a a))) 4) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (sqr (+ (* a a) (sqr b)))))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 (* a 3)) (sqr b))))) * [exit]simplify: Simplified to (+ (* (sqr (- (* a a) (sqr b))) (+ (* (cube (* (+ 1 a) (* a a))) 4) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (sqr (+ (* a a) (sqr b)))))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (* (+ (* a a) (sqr b)) (- (* a a) (sqr b))) (* (+ (* a a) (sqr b)) (- (* a a) (sqr b)))) (* (- 1 (* a 3)) (sqr b))))) * * * * [misc]progress: [ 2020 / 2108 ] 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))))))) (* (* 4 (pow (* (sqr a) (+ 1 a)) 3)) (sqr (- (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) (+ (* 4 (cube (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (sqr (+ (* a a) (sqr b)))))) (* (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) (+ (* 4 (cube (* (+ 1 a) (* a a)))) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (sqr (+ (* a a) (sqr b)))))) (* (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 2021 / 2108 ] 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))))))) (* (* (pow (* (sqr a) (+ 1 a)) 3) 4) (sqr (- (sqr a) (sqr b))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) (+ (* (cube (* (+ 1 a) (* a a))) 4) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (sqr (+ (* a a) (sqr b)))))) (* (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* (- (* a a) (sqr b)) (- (* a a) (sqr b))) (+ (* (cube (* (+ 1 a) (* a a))) 4) (* (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (sqr (+ (* a a) (sqr b)))))) (* (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b))) (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))))) * * * * [misc]progress: [ 2022 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr (- (sqr (sqr a)) (sqr (sqr b)))) (- (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 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) 4)) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 (* 3 a)) (sqr b))))) * [exit]simplify: Simplified to (+ (* (+ (cube (* (- 1 (* 3 a)) (sqr b))) (cube (* (+ 1 a) (* a a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) 4)) (* (- (* (- 1 (* 3 a)) (sqr b)) (* (+ 1 a) (* a a))) (* (* (- (sqr (* a a)) (* (sqr b) (sqr b))) (- (sqr (* a a)) (* (sqr b) (sqr b)))) (* (- 1 (* 3 a)) (sqr b))))) * * * * [misc]progress: [ 2023 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (sqr (* (sqr b) (- 1 (* 3 a)))) (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a))))) (sqr (- (sqr (sqr a)) (sqr (sqr b))))) (* (sqr (- (sqr a) (sqr b))) (* 4 (+ (pow (* (sqr a) (+ 1 a)) 3) (pow (* (sqr b) (- 1 (* 3 a))) 3))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (+ (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) 4)) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (sqr (- (sqr (* a a)) (sqr (* b b)))) (* (- 1 (* 3 a)) (* b b))))) * [exit]simplify: Simplified to (+ (* (+ (cube (* (- 1 (* 3 a)) (* b b))) (cube (* (+ a 1) (* a a)))) (* (* (* (- a b) (+ a b)) (* (- a b) (+ a b))) 4)) (* (- (* (- 1 (* 3 a)) (* b b)) (* (+ a 1) (* a a))) (* (sqr (- (sqr (* a a)) (sqr (* b b)))) (* (- 1 (* 3 a)) (* b b))))) * * * * [misc]progress: [ 2024 / 2108 ] simplifiying candidate # * * * * [misc]progress: [ 2025 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * * * * [misc]progress: [ 2026 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * * * * [misc]progress: [ 2027 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * * * * [misc]progress: [ 2028 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * * * * [misc]progress: [ 2029 / 2108 ] simplifiying candidate # * * * * [misc]progress: [ 2030 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (sqr a)) (log (+ 1 a))) (+ (log (sqr b)) (log (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (+ (+ (log (+ a 1)) (+ (+ (log a) (log b)) (+ (log a) (log b)))) (log (- 1 (* a 3)))) * [exit]simplify: Simplified to (+ (+ (log (+ a 1)) (+ (+ (log a) (log b)) (+ (log a) (log b)))) (log (- 1 (* a 3)))) * * * * [misc]progress: [ 2031 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (sqr a)) (log (+ 1 a))) (log (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (+ (+ (+ (log a) (log a)) (log (+ a 1))) (log (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (+ (+ (+ (log a) (log a)) (log (+ a 1))) (log (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 2032 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (sqr a) (+ 1 a))) (+ (log (sqr b)) (log (- 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 (73 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (+ (+ (log (* (+ a 1) (* a a))) (log (* b b))) (log (- 1 (* 3 a)))) * [exit]simplify: Simplified to (+ (+ (log (* (+ a 1) (* a a))) (log (* b b))) (log (- 1 (* 3 a)))) * * * * [misc]progress: [ 2033 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (sqr a) (+ 1 a))) (log (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (+ (log (* (- 1 (* a 3)) (* b b))) (log (* (+ a 1) (* a a)))) * [exit]simplify: Simplified to (+ (log (* (- 1 (* a 3)) (* b b))) (log (* (+ a 1) (* a a)))) * * * * [misc]progress: [ 2034 / 2108 ] 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 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (log (* (- 1 (* 3 a)) (* (+ (* a a) a) (* a (* b b))))) * [exit]simplify: Simplified to (log (* (- 1 (* 3 a)) (* (+ (* a a) a) (* a (* b b))))) * * * * [misc]progress: [ 2035 / 2108 ] 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 (50 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (pow (exp (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (pow (exp (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) * * * * [misc]progress: [ 2036 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cube (sqr a)) (cube (+ 1 a))) (* (cube (sqr b)) (cube (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (* (* (* (* (cube b) (cube b)) (- 1 (* a 3))) (* (- 1 (* a 3)) (- 1 (* a 3)))) (* (cube (* a a)) (cube (+ a 1)))) * [exit]simplify: Simplified to (* (* (* (* (cube b) (cube b)) (- 1 (* a 3))) (* (- 1 (* a 3)) (- 1 (* a 3)))) (* (cube (* a a)) (cube (+ a 1)))) * * * * [misc]progress: [ 2037 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cube (sqr a)) (cube (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (* (cube (* (* b b) (- 1 (* 3 a)))) (* (sqr (cube a)) (cube (+ a 1)))) * [exit]simplify: Simplified to (* (cube (* (* b b) (- 1 (* 3 a)))) (* (sqr (cube a)) (cube (+ a 1)))) * * * * [misc]progress: [ 2038 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (* (sqr a) (+ 1 a))) (* (cube (sqr b)) (cube (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (* (sqr (cube b)) (cube (* (+ a 1) (* a a)))) (cube (- 1 (* 3 a)))) * [exit]simplify: Simplified to (* (* (sqr (cube b)) (cube (* (+ a 1) (* a a)))) (cube (- 1 (* 3 a)))) * * * * [misc]progress: [ 2039 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (* (sqr a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (cube (* (+ a 1) (* a a))))) * [exit]simplify: Simplified to (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (cube (* (+ a 1) (* a a))))) * * * * [misc]progress: [ 2040 / 2108 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (cbrt (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (* 3 a)))) * * * * [misc]progress: [ 2041 / 2108 ] 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 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (cube (* (- 1 (* 3 a)) (* (* (+ a 1) (* a a)) (* b b)))) * [exit]simplify: Simplified to (cube (* (- 1 (* 3 a)) (* (* (+ a 1) (* a a)) (* b b)))) * * * * [misc]progress: [ 2042 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqr a) (+ 1 a))) (cbrt (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- 1 (* a 3)) (* b b))) (cbrt (* (+ a 1) (* a a)))) * [exit]simplify: Simplified to (* (cbrt (* (- 1 (* a 3)) (* b b))) (cbrt (* (+ a 1) (* a a)))) * * * * [misc]progress: [ 2043 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqr a) (+ 1 a))) (* (cbrt (sqr b)) (cbrt (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (cbrt (* b b)) (* (cbrt (- 1 (* 3 a))) (cbrt (* (+ a 1) (* a a))))) * [exit]simplify: Simplified to (* (cbrt (* b b)) (* (cbrt (- 1 (* 3 a))) (cbrt (* (+ a 1) (* a a))))) * * * * [misc]progress: [ 2044 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (sqr a)) (cbrt (+ 1 a))) (cbrt (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* b b) (- 1 (* 3 a)))) (* (cbrt (* a a)) (cbrt (+ a 1)))) * [exit]simplify: Simplified to (* (cbrt (* (* b b) (- 1 (* 3 a)))) (* (cbrt (* a a)) (cbrt (+ a 1)))) * * * * [misc]progress: [ 2045 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (sqr a)) (cbrt (+ 1 a))) (* (cbrt (sqr b)) (cbrt (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- 1 (* a 3))) (cbrt (* b b))) (* (cbrt (* a a)) (cbrt (+ a 1)))) * [exit]simplify: Simplified to (* (* (cbrt (- 1 (* a 3))) (cbrt (* b b))) (* (cbrt (* a a)) (cbrt (+ a 1)))) * * * * [misc]progress: [ 2046 / 2108 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (* 3 a)))) * * * * [misc]progress: [ 2047 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (sqr a) (+ 1 a))) (sqrt (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- 1 (* a 3)) (* b b))) (sqrt (* (+ a 1) (* a a)))) * [exit]simplify: Simplified to (* (sqrt (* (- 1 (* a 3)) (* b b))) (sqrt (* (+ a 1) (* a a)))) * * * * [misc]progress: [ 2048 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (sqr a) (+ 1 a))) (* b (sqrt (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (* b (sqrt (* (+ a 1) (* a a)))) (sqrt (- 1 (* 3 a)))) * [exit]simplify: Simplified to (* (* b (sqrt (* (+ a 1) (* a a)))) (sqrt (- 1 (* 3 a)))) * * * * [misc]progress: [ 2049 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a (sqrt (+ 1 a))) (sqrt (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* b b) (- 1 (* 3 a)))) (* (sqrt (+ 1 a)) a)) * [exit]simplify: Simplified to (* (sqrt (* (* b b) (- 1 (* 3 a)))) (* (sqrt (+ 1 a)) a)) * * * * [misc]progress: [ 2050 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a (sqrt (+ 1 a))) (* b (sqrt (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (* (* b a) (sqrt (+ 1 a))) (sqrt (- 1 (* a 3)))) * [exit]simplify: Simplified to (* (* (* b a) (sqrt (+ 1 a))) (sqrt (- 1 (* a 3)))) * * * * [misc]progress: [ 2051 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * [exit]simplify: Simplified to (* (* (* (sqr b) (* a a)) (+ 1 (cube a))) (- 1 (cube (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (sqr b) (* a a)) (+ 1 (cube a))) (- 1 (cube (* 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 (161 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) * [exit]simplify: Simplified to (* (+ (* a a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) * * * * [misc]progress: [ 2052 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (cube a)) (* b (* a a))) (- 1 (* (* 3 a) (* 3 a)))) b) * [exit]simplify: Simplified to (* (* (* (+ 1 (cube a)) (* b (* a a))) (- 1 (* (* 3 a) (* 3 a)))) b) * [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 (56 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (+ (* 3 a) 1) (- (* a a) (- a 1))) * [exit]simplify: Simplified to (* (+ (* 3 a) 1) (- (* a a) (- a 1))) * * * * [misc]progress: [ 2053 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (* (- 1 (cube (* a 3))) (* (* (* b b) (* a a)) (- 1 (* a a)))) * [exit]simplify: Simplified to (* (- 1 (cube (* a 3))) (* (* (* b b) (* a a)) (- 1 (* a a)))) * [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 (94 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (168 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: [ 2054 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (* (- 1 (sqr (* a 3))) (* (* (* b b) (* a a)) (- 1 (* a a)))) * [exit]simplify: Simplified to (* (- 1 (sqr (* a 3))) (* (* (* b b) (* a a)) (- 1 (* a 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 (64 enodes) * [exit]simplify: Simplified to (+ (* (* 3 a) (- 1 a)) (- 1 a)) * [exit]simplify: Simplified to (+ (* (* 3 a) (- 1 a)) (- 1 a)) * * * * [misc]progress: [ 2055 / 2108 ] simplifiying candidate # * * * * [misc]progress: [ 2056 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (* (+ a 1) (* a a)) (* b b)) * [exit]simplify: Simplified to (* (* (+ a 1) (* a a)) (* b b)) * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to (* (- 3) (* (* (* b b) (* a a)) (+ (* a a) a))) * [exit]simplify: Simplified to (* (- 3) (* (* (* b b) (* a a)) (+ (* a a) a))) * * * * [misc]progress: [ 2057 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* 1 (sqr b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (* a (* b a)) (+ (* b a) b)) * [exit]simplify: Simplified to (* (* a (* b a)) (+ (* b a) b)) * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (- (* 3 a)) (sqr b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (* (* (* 3 a) (sqr b)) (* (+ (* a a) a) (- a))) * [exit]simplify: Simplified to (* (* (* 3 a) (sqr b)) (* (+ (* a a) a) (- a))) * * * * [misc]progress: [ 2058 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr b) 1) (* (sqr a) (+ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (* a (* b a)) (+ (* b a) b)) * [exit]simplify: Simplified to (* (* a (* b a)) (+ (* b a) b)) * [enter]simplify: Simplifying (* (* (sqr b) (- (* 3 a))) (* (sqr a) (+ 1 a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (349 enodes) * [exit]simplify: Simplified to (* (* (* (* a b) (* b 3)) (- a)) (+ a (sqr a))) * [exit]simplify: Simplified to (* (* (* (* a b) (* b 3)) (- a)) (+ a (sqr a))) * * * * [misc]progress: [ 2059 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1 (sqr b)) (* (sqr a) (+ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (* (+ a 1) (* a a)) (sqr b)) * [exit]simplify: Simplified to (* (* (+ a 1) (* a a)) (sqr b)) * [enter]simplify: Simplifying (* (* (- (* 3 a)) (sqr b)) (* (sqr a) (+ 1 a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (* (* (* 3 b) (* a b)) (* (+ a (sqr a)) (- a))) * [exit]simplify: Simplified to (* (* (* 3 b) (* a b)) (* (+ a (sqr a)) (- a))) * * * * [misc]progress: [ 2060 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (sqr b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (* (+ a 1) (* a a)) (* b b)) * [exit]simplify: Simplified to (* (* (+ a 1) (* a a)) (* b b)) * * * * [misc]progress: [ 2061 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 a) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (* (+ a 1) (sqr b)) (- 1 (* 3 a))) * [exit]simplify: Simplified to (* (* (+ a 1) (sqr b)) (- 1 (* 3 a))) * * * * [misc]progress: [ 2062 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) * [exit]simplify: Simplified to (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) * * * * [misc]progress: [ 2063 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (320 enodes) * [exit]simplify: Simplified to (* (- 1 (sqr (* a 3))) (* (* (+ a 1) (* a a)) (* b b))) * [exit]simplify: Simplified to (* (- 1 (sqr (* a 3))) (* (* (+ a 1) (* a a)) (* b b))) * * * * [misc]progress: [ 2064 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (+ 1 (cube a)) (* (* (* a a) (sqr b)) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (* (+ 1 (cube a)) (* (* (* a a) (sqr b)) (- 1 (* 3 a)))) * * * * [misc]progress: [ 2065 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* a 3)) (* b b)) (* (* a a) (- 1 (* a a)))) * [exit]simplify: Simplified to (* (* (- 1 (* a 3)) (* b b)) (* (* a a) (- 1 (* a a)))) * * * * [misc]progress: [ 2066 / 2108 ] simplifiying candidate # * * * * [misc]progress: [ 2067 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * * * * [misc]progress: [ 2068 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * * * * [misc]progress: [ 2069 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * * * * [misc]progress: [ 2070 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * [exit]simplify: Simplified to (* (* (* (* a a) (* b b)) (- 1 (* 3 a))) (+ a 1)) * * * * [misc]progress: [ 2071 / 2108 ] simplifiying candidate # * * * * [misc]progress: [ 2072 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (sqr a)) (log (+ 1 a))) (+ (log (sqr b)) (log (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (+ (+ (log (+ a 1)) (+ (+ (log a) (log b)) (+ (log a) (log b)))) (log (- 1 (* a 3)))) * [exit]simplify: Simplified to (+ (+ (log (+ a 1)) (+ (+ (log a) (log b)) (+ (log a) (log b)))) (log (- 1 (* a 3)))) * * * * [misc]progress: [ 2073 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (sqr a)) (log (+ 1 a))) (log (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (+ (+ (+ (log a) (log a)) (log (+ a 1))) (log (* (* b b) (- 1 (* 3 a))))) * [exit]simplify: Simplified to (+ (+ (+ (log a) (log a)) (log (+ a 1))) (log (* (* b b) (- 1 (* 3 a))))) * * * * [misc]progress: [ 2074 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (sqr a) (+ 1 a))) (+ (log (sqr b)) (log (- 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 (73 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (+ (+ (log (* (+ a 1) (* a a))) (log (* b b))) (log (- 1 (* 3 a)))) * [exit]simplify: Simplified to (+ (+ (log (* (+ a 1) (* a a))) (log (* b b))) (log (- 1 (* 3 a)))) * * * * [misc]progress: [ 2075 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (sqr a) (+ 1 a))) (log (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (+ (log (* (- 1 (* a 3)) (* b b))) (log (* (+ a 1) (* a a)))) * [exit]simplify: Simplified to (+ (log (* (- 1 (* a 3)) (* b b))) (log (* (+ a 1) (* a a)))) * * * * [misc]progress: [ 2076 / 2108 ] 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 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (log (* (- 1 (* 3 a)) (* (+ (* a a) a) (* a (* b b))))) * [exit]simplify: Simplified to (log (* (- 1 (* 3 a)) (* (+ (* a a) a) (* a (* b b))))) * * * * [misc]progress: [ 2077 / 2108 ] 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 (50 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (pow (exp (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (pow (exp (* (+ a 1) (* a a))) (* (* b b) (- 1 (* 3 a)))) * * * * [misc]progress: [ 2078 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cube (sqr a)) (cube (+ 1 a))) (* (cube (sqr b)) (cube (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (* (* (* (* (cube b) (cube b)) (- 1 (* a 3))) (* (- 1 (* a 3)) (- 1 (* a 3)))) (* (cube (* a a)) (cube (+ a 1)))) * [exit]simplify: Simplified to (* (* (* (* (cube b) (cube b)) (- 1 (* a 3))) (* (- 1 (* a 3)) (- 1 (* a 3)))) (* (cube (* a a)) (cube (+ a 1)))) * * * * [misc]progress: [ 2079 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cube (sqr a)) (cube (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (* (cube (* (* b b) (- 1 (* 3 a)))) (* (sqr (cube a)) (cube (+ a 1)))) * [exit]simplify: Simplified to (* (cube (* (* b b) (- 1 (* 3 a)))) (* (sqr (cube a)) (cube (+ a 1)))) * * * * [misc]progress: [ 2080 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (* (sqr a) (+ 1 a))) (* (cube (sqr b)) (cube (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (* (sqr (cube b)) (cube (* (+ a 1) (* a a)))) (cube (- 1 (* 3 a)))) * [exit]simplify: Simplified to (* (* (sqr (cube b)) (cube (* (+ a 1) (* a a)))) (cube (- 1 (* 3 a)))) * * * * [misc]progress: [ 2081 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (* (sqr a) (+ 1 a))) (cube (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (cube (* (+ a 1) (* a a))))) * [exit]simplify: Simplified to (* (* (* (- 1 (* a 3)) (* b b)) (* (- 1 (* a 3)) (* b b))) (* (* (- 1 (* a 3)) (* b b)) (cube (* (+ a 1) (* a a))))) * * * * [misc]progress: [ 2082 / 2108 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (cbrt (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (* 3 a)))) * * * * [misc]progress: [ 2083 / 2108 ] 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 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (cube (* (- 1 (* 3 a)) (* (* (+ a 1) (* a a)) (* b b)))) * [exit]simplify: Simplified to (cube (* (- 1 (* 3 a)) (* (* (+ a 1) (* a a)) (* b b)))) * * * * [misc]progress: [ 2084 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqr a) (+ 1 a))) (cbrt (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- 1 (* a 3)) (* b b))) (cbrt (* (+ a 1) (* a a)))) * [exit]simplify: Simplified to (* (cbrt (* (- 1 (* a 3)) (* b b))) (cbrt (* (+ a 1) (* a a)))) * * * * [misc]progress: [ 2085 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqr a) (+ 1 a))) (* (cbrt (sqr b)) (cbrt (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (cbrt (* b b)) (* (cbrt (- 1 (* 3 a))) (cbrt (* (+ a 1) (* a a))))) * [exit]simplify: Simplified to (* (cbrt (* b b)) (* (cbrt (- 1 (* 3 a))) (cbrt (* (+ a 1) (* a a))))) * * * * [misc]progress: [ 2086 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (sqr a)) (cbrt (+ 1 a))) (cbrt (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* b b) (- 1 (* 3 a)))) (* (cbrt (* a a)) (cbrt (+ a 1)))) * [exit]simplify: Simplified to (* (cbrt (* (* b b) (- 1 (* 3 a)))) (* (cbrt (* a a)) (cbrt (+ a 1)))) * * * * [misc]progress: [ 2087 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (sqr a)) (cbrt (+ 1 a))) (* (cbrt (sqr b)) (cbrt (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- 1 (* a 3))) (cbrt (* b b))) (* (cbrt (* a a)) (cbrt (+ a 1)))) * [exit]simplify: Simplified to (* (* (cbrt (- 1 (* a 3))) (cbrt (* b b))) (* (cbrt (* a a)) (cbrt (+ a 1)))) * * * * [misc]progress: [ 2088 / 2108 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ a 1) (* a a)) (* b b)) (- 1 (* 3 a)))) * * * * [misc]progress: [ 2089 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (sqr a) (+ 1 a))) (sqrt (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (sqrt (* (- 1 (* a 3)) (* b b))) (sqrt (* (+ a 1) (* a a)))) * [exit]simplify: Simplified to (* (sqrt (* (- 1 (* a 3)) (* b b))) (sqrt (* (+ a 1) (* a a)))) * * * * [misc]progress: [ 2090 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (sqr a) (+ 1 a))) (* b (sqrt (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (* b (sqrt (* (+ a 1) (* a a)))) (sqrt (- 1 (* 3 a)))) * [exit]simplify: Simplified to (* (* b (sqrt (* (+ a 1) (* a a)))) (sqrt (- 1 (* 3 a)))) * * * * [misc]progress: [ 2091 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a (sqrt (+ 1 a))) (sqrt (* (sqr b) (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* b b) (- 1 (* 3 a)))) (* (sqrt (+ 1 a)) a)) * [exit]simplify: Simplified to (* (sqrt (* (* b b) (- 1 (* 3 a)))) (* (sqrt (+ 1 a)) a)) * * * * [misc]progress: [ 2092 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a (sqrt (+ 1 a))) (* b (sqrt (- 1 (* 3 a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (* (* b a) (sqrt (+ 1 a))) (sqrt (- 1 (* a 3)))) * [exit]simplify: Simplified to (* (* (* b a) (sqrt (+ 1 a))) (sqrt (- 1 (* a 3)))) * * * * [misc]progress: [ 2093 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * [exit]simplify: Simplified to (* (* (* (sqr b) (* a a)) (+ 1 (cube a))) (- 1 (cube (* 3 a)))) * [exit]simplify: Simplified to (* (* (* (sqr b) (* a a)) (+ 1 (cube a))) (- 1 (cube (* 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 (161 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) * [exit]simplify: Simplified to (* (+ (* a a) (- 1 a)) (+ (+ (* 3 a) 1) (* (* 3 a) (* 3 a)))) * * * * [misc]progress: [ 2094 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (cube a)) (* b (* a a))) (- 1 (* (* 3 a) (* 3 a)))) b) * [exit]simplify: Simplified to (* (* (* (+ 1 (cube a)) (* b (* a a))) (- 1 (* (* 3 a) (* 3 a)))) b) * [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 (56 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (+ (* 3 a) 1) (- (* a a) (- a 1))) * [exit]simplify: Simplified to (* (+ (* 3 a) 1) (- (* a a) (- a 1))) * * * * [misc]progress: [ 2095 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (* (- 1 (cube (* a 3))) (* (* (* b b) (* a a)) (- 1 (* a a)))) * [exit]simplify: Simplified to (* (- 1 (cube (* a 3))) (* (* (* b b) (* a a)) (- 1 (* a a)))) * [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 (94 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (168 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: [ 2096 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (* (- 1 (sqr (* a 3))) (* (* (* b b) (* a a)) (- 1 (* a a)))) * [exit]simplify: Simplified to (* (- 1 (sqr (* a 3))) (* (* (* b b) (* a a)) (- 1 (* a 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 (64 enodes) * [exit]simplify: Simplified to (+ (* (* 3 a) (- 1 a)) (- 1 a)) * [exit]simplify: Simplified to (+ (* (* 3 a) (- 1 a)) (- 1 a)) * * * * [misc]progress: [ 2097 / 2108 ] simplifiying candidate # * * * * [misc]progress: [ 2098 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (* (+ a 1) (* a a)) (* b b)) * [exit]simplify: Simplified to (* (* (+ a 1) (* a a)) (* b b)) * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (* 3 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to (* (- 3) (* (* (* b b) (* a a)) (+ (* a a) a))) * [exit]simplify: Simplified to (* (- 3) (* (* (* b b) (* a a)) (+ (* a a) a))) * * * * [misc]progress: [ 2099 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* 1 (sqr b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (* a (* b a)) (+ (* b a) b)) * [exit]simplify: Simplified to (* (* a (* b a)) (+ (* b a) b)) * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (- (* 3 a)) (sqr b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (* (* (* 3 a) (sqr b)) (* (+ (* a a) a) (- a))) * [exit]simplify: Simplified to (* (* (* 3 a) (sqr b)) (* (+ (* a a) a) (- a))) * * * * [misc]progress: [ 2100 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr b) 1) (* (sqr a) (+ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (* a (* b a)) (+ (* b a) b)) * [exit]simplify: Simplified to (* (* a (* b a)) (+ (* b a) b)) * [enter]simplify: Simplifying (* (* (sqr b) (- (* 3 a))) (* (sqr a) (+ 1 a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (349 enodes) * [exit]simplify: Simplified to (* (* (* (* a b) (* b 3)) (- a)) (+ a (sqr a))) * [exit]simplify: Simplified to (* (* (* (* a b) (* b 3)) (- a)) (+ a (sqr a))) * * * * [misc]progress: [ 2101 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1 (sqr b)) (* (sqr a) (+ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (* (+ a 1) (* a a)) (sqr b)) * [exit]simplify: Simplified to (* (* (+ a 1) (* a a)) (sqr b)) * [enter]simplify: Simplifying (* (* (- (* 3 a)) (sqr b)) (* (sqr a) (+ 1 a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (* (* (* 3 b) (* a b)) (* (+ a (sqr a)) (- a))) * [exit]simplify: Simplified to (* (* (* 3 b) (* a b)) (* (+ a (sqr a)) (- a))) * * * * [misc]progress: [ 2102 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (sqr b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (* (+ a 1) (* a a)) (* b b)) * [exit]simplify: Simplified to (* (* (+ a 1) (* a a)) (* b b)) * * * * [misc]progress: [ 2103 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 a) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (* (+ a 1) (sqr b)) (- 1 (* 3 a))) * [exit]simplify: Simplified to (* (* (+ a 1) (sqr b)) (- 1 (* 3 a))) * * * * [misc]progress: [ 2104 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (pow 1 3) (pow (* 3 a) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) * [exit]simplify: Simplified to (* (- 1 (cube (* 3 a))) (* (* (+ a 1) (* a a)) (* b b))) * * * * [misc]progress: [ 2105 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ 1 a)) (* (sqr b) (- (sqr 1) (sqr (* 3 a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (320 enodes) * [exit]simplify: Simplified to (* (- 1 (sqr (* a 3))) (* (* (+ a 1) (* a a)) (* b b))) * [exit]simplify: Simplified to (* (- 1 (sqr (* a 3))) (* (* (+ a 1) (* a a)) (* b b))) * * * * [misc]progress: [ 2106 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (+ (pow 1 3) (pow a 3))) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (+ 1 (cube a)) (* (* (* a a) (sqr b)) (- 1 (* 3 a)))) * [exit]simplify: Simplified to (* (+ 1 (cube a)) (* (* (* a a) (sqr b)) (- 1 (* 3 a)))) * * * * [misc]progress: [ 2107 / 2108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqr a) (- (sqr 1) (sqr a))) (* (sqr b) (- 1 (* 3 a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* a 3)) (* b b)) (* (* a a) (- 1 (* a a)))) * [exit]simplify: Simplified to (* (* (- 1 (* a 3)) (* b b)) (* (* a a) (- 1 (* a a)))) * * * * [misc]progress: [ 2108 / 2108 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) +inf.0)) , with alts (#) * [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 (84 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr b)))))) * [exit]simplify: Simplified to (+ (* (* 4 (sqr (- (* a a) (sqr b)))) (+ (cube (* (- 1 (* a 3)) (sqr b))) (cube (* (+ 1 a) (* a a))))) (* (* (* (- (* a a) (sqr b)) (+ (* a a) (sqr b))) (* (- (* a a) (sqr b)) (+ (* a a) (sqr b)))) (+ (* (* (+ 1 a) (* a a)) (* (+ 1 a) (* a a))) (* (- (* (- 1 (* a 3)) (sqr b)) (* (+ 1 a) (* a a))) (* (- 1 (* a 3)) (sqr 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 (150 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- 1 (* a 3)) (* b b))) (- (* (- 1 (* a 3)) (* b b)) (* (+ 1 a) (* a a)))) (* (sqr (* (+ 1 a) (* a a))) (* (- (* a a) (* b b)) (- (* a 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 (74 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (- (+ (* (* (* b 4) b) (- 1 (* a 3))) (* (+ 4 (* a 4)) (* a a))) (- 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [enter]simplify: Simplifying (- (+ (+ (* 2 (* (sqr b) (sqr a))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (+ (+ (* (+ (* a 4) 4) (sqr a)) (* (* 4 (sqr b)) (- 1 (* 3 a)))) (+ (* (* (+ b b) b) (sqr a)) (+ (- (pow a 4) 1) (pow b 4))))